CBSE 12th Mathematics

Last 5 year solutions (2011 - 2015)

Prepare for CBSE class 12 Mathematics board paper with the help of previous years (2011-2015) solved question papers.
105 video solutions

CBSE Board Papers Class 12 - 2014 - Mathematics - Question 29
by added on Mon Feb 16 09:25:24 UTC 2015 1821 views
Question - Evaluate : ......... Vedantu - Your Personal Teacher Online - Get an clear edge over other students by constant revision of important topics with an awesome teacher. - Get your doubts and questions resolved instantly by booking an instant live session - Prepare for competitive exams with our exam courses and achieve your goal - Skipped a topic in tuitions? Learn it on Vedantu by taking our topic courses

 

CBSE Board Papers Class 12 - 2014 - Mathematics - Question 27
by added on Mon Feb 16 09:27:01 UTC 2015 426 views
Question - Two schools A and B want to award their selected students on the values of sincerity, truthfulness and helpfulness. T-he school A wants to award x each, y each and z each for the three respective values to 3, 2 and 1 students respectively with a total award money of 1,600. School B wants to spend 2,300 to award its 4, 1 and 3 students on the respective values (by giving the same award money to the three values as before). If the total amount for one prize on each value is 900, using matrices, find the award money for each value. Apart from these three values, suggest one more value which should be considered for award. Vedantu - Your Personal Teacher Online - Get an clear edge over other students by constant revision of important topics with an awesome teacher. - Get your doubts and questions resolved instantly by booking an instant live session - Prepare for competitive exams with our exam courses and achieve your goal - Skipped a topic in tuitions? Learn it on Vedantu by taking our topic courses

 

CBSE Board Papers Class 12 - 2012 - Mathematics - Question 19
by added on Mon Mar 02 08:49:42 UTC 2015 327 views
Question - Using properties of determinants, prove the following: ------ = (a – b) (b – c) (c – a) (a + b + c) Vedantu - Your Personal Teacher Online - Get an clear edge over other students by constant revision of important topics with an awesome teacher. - Get your doubts and questions resolved instantly by booking an instant live session - Prepare for competitive exams with our exam courses and achieve your goal - Skipped a topic in tuitions? Learn it on Vedantu by taking our topic courses

 

CBSE Board Papers Class 12 - 2014 - Mathematics - Question 24
by added on Mon Feb 16 08:52:45 UTC 2015 275 views
Question - Using integration, find the area of the region bounded by the triangle V whose vertices are (-1, 2), (1, 5) and (3, 4). Vedantu - Your Personal Teacher Online - Get an clear edge over other students by constant revision of important topics with an awesome teacher. - Get your doubts and questions resolved instantly by booking an instant live session - Prepare for competitive exams with our exam courses and achieve your goal - Skipped a topic in tuitions? Learn it on Vedantu by taking our topic courses

 

CBSE Board Papers Class 12 - 2014 - Mathematics - Question 11
by added on Mon Feb 16 08:37:24 UTC 2015 261 views
Solve the differential equation ------- Vedantu - Your Personal Teacher Online - Get an clear edge over other students by constant revision of important topics with an awesome teacher. - Get your doubts and questions resolved instantly by booking an instant live session - Prepare for competitive exams with our exam courses and achieve your goal - Skipped a topic in tuitions? Learn it on Vedantu by taking our topic courses

 

CBSE Board Papers Class 12 - 2014 - Mathematics - Question 15
by added on Mon Feb 16 08:45:07 UTC 2015 247 views
Question - If the function f :------- Vedantu - Your Personal Teacher Online - Get an clear edge over other students by constant revision of important topics with an awesome teacher. - Get your doubts and questions resolved instantly by booking an instant live session - Prepare for competitive exams with our exam courses and achieve your goal - Skipped a topic in tuitions? Learn it on Vedantu by taking our topic courses

 

CBSE Board Papers Class 12 - 2014 - Mathematics - Question 27
by added on Mon Feb 16 05:52:47 UTC 2015 201 views
Question - Two schools A and B want to award their selected students on the values of sincerity, truthfulness and helpfulness. T-he school A wants to award x each, y each and z each for the three respective values to 3, 2 and 1 students respectively with a total award money of 1,600. School B wants to spend 2,300 to award its 4, 1 and 3 students on the respective values (by giving the same award money to the three values as before). If the total amount for one prize on each value is 900, using matrices, find the award money for each value. Apart from these three values, suggest one more value which should be considered for award. Vedantu - Your Personal Teacher Online - Get an clear edge over other students by constant revision of important topics with an awesome teacher. - Get your doubts and questions resolved instantly by booking an instant live session - Prepare for competitive exams with our exam courses and achieve your goal - Skipped a topic in tuitions? Learn it on Vedantu by taking our topic courses

 

CBSE Board Papers Class 12 - 2013 - Mathematics - Question 11
by added on Mon Mar 02 11:29:46 UTC 2015 165 views
Question - Show that the function f in A = R ------------ Vedantu - Your Personal Teacher Online - Get an clear edge over other students by constant revision of important topics with an awesome teacher. - Get your doubts and questions resolved instantly by booking an instant live session - Prepare for competitive exams with our exam courses and achieve your goal - Skipped a topic in tuitions? Learn it on Vedantu by taking our topic courses

 

CBSE Board Papers Class 12 - 2014 - Mathematics - Question 26 b
by added on Mon Feb 16 09:30:20 UTC 2015 163 views
Question - Two numbers are selected at random (without replacement) from the first six positive integers. Let X denote the larger of the two numbers obtained. Find the probability distribution of the random variable X, and hence find the mean of the distribution. Vedantu - Your Personal Teacher Online - Get an clear edge over other students by constant revision of important topics with an awesome teacher. - Get your doubts and questions resolved instantly by booking an instant live session - Prepare for competitive exams with our exam courses and achieve your goal - Skipped a topic in tuitions? Learn it on Vedantu by taking our topic courses

 

CBSE Board Papers Class 12 - 2014 - Mathematics Question 25
by added on Mon Feb 16 09:51:56 UTC 2015 161 views
Question - A manufacturing company makes two types of teaching aids A and B of Mathematics for class XII. Each type of A requires 9 labour hours of fabricating and 1 labour hour for finishing. Each type of B requires 12 labour hours for fabricating and 3 labour hours for finishing. For fabricating and finishing, the maximum labour hours available per week are 180 and 30 respectively. The company makes a profit of 80 on each piece of type A and 120 on each piece of type B. How many pieces of type A and type B should be manufactured per week to get a maximum profit? Make it as an LPP and solve graphically. What is the maximum profit per week? Vedantu - Your Personal Teacher Online - Get an clear edge over other students by constant revision of important topics with an awesome teacher. - Get your doubts and questions resolved instantly by booking an instant live session - Prepare for competitive exams with our exam courses and achieve your goal - Skipped a topic in tuitions? Learn it on Vedantu by taking our topic courses

 

CBSE Board Papers Class 12 - 2014 - Mathematics - Question 29
by added on Mon Feb 16 05:40:03 UTC 2015 148 views
Question - Evaluate : ......... Vedantu - Your Personal Teacher Online - Get an clear edge over other students by constant revision of important topics with an awesome teacher. - Get your doubts and questions resolved instantly by booking an instant live session - Prepare for competitive exams with our exam courses and achieve your goal - Skipped a topic in tuitions? Learn it on Vedantu by taking our topic courses

 

CBSE Board Papers Class 12 - 2014 - Mathematics - Question 23 a
by added on Mon Feb 16 09:18:49 UTC 2015 144 views
Question - Find the equation of the plane through the line of intersection of the planes x + y + z = 1 and 2x + 3y + 4z = 5 which is perpendicular to the plane x- y + z = 0. Also find the distance of the plane obtained above, from the origin. Vedantu - Your Personal Teacher Online - Get an clear edge over other students by constant revision of important topics with an awesome teacher. - Get your doubts and questions resolved instantly by booking an instant live session - Prepare for competitive exams with our exam courses and achieve your goal - Skipped a topic in tuitions? Learn it on Vedantu by taking our topic courses

 

CBSE Board Papers Class 12 - 2013 - Mathematics - Question 16 b
by added on Mon Mar 02 09:32:06 UTC 2015 142 views
Question - If x = a sin t and y = a ---------- Vedantu - Your Personal Teacher Online - Get an clear edge over other students by constant revision of important topics with an awesome teacher. - Get your doubts and questions resolved instantly by booking an instant live session - Prepare for competitive exams with our exam courses and achieve your goal - Skipped a topic in tuitions? Learn it on Vedantu by taking our topic courses

 

CBSE Board Papers Class 10 - 2014 - Mathematics - Question 29
by added on Mon Feb 16 06:21:50 UTC 2015 136 views
Question - A motorboat whose speed in still water is 18 km/h, takes 1 hour more to go 24 km upstream than to return downstream to the same spot. Find the speed of the stream. Vedantu - Your Personal Teacher Online - Get an clear edge over other students by constant revision of important topics with an awesome teacher. - Get your doubts and questions resolved instantly by booking an instant live session - Prepare for competitive exams with our exam courses and achieve your goal - Skipped a topic in tuitions? Learn it on Vedantu by taking our topic courses

 

CBSE Board Papers Class 12 - 2013 - Mathematics - Question 25 b
by added on Mon Mar 02 06:36:42 UTC 2015 122 views
Question - Using integration, find the area of the region enclosed between the two circles x^2 + y^2 = 4 and (x – 2)^2 + y^2 = 4. Vedantu - Your Personal Teacher Online - Get an clear edge over other students by constant revision of important topics with an awesome teacher. - Get your doubts and questions resolved instantly by booking an instant live session - Prepare for competitive exams with our exam courses and achieve your goal - Skipped a topic in tuitions? Learn it on Vedantu by taking our topic courses

 

CBSE Board Papers Class 12 - 2014 - Mathematics - Question 28
by added on Mon Feb 16 09:20:18 UTC 2015 115 views
Question - If the sum of the lengths of the hypotenuse and a side of a right triangle is given, show that the area of the triangle is maximum, when the angle between them is 60°. Vedantu - Your Personal Teacher Online - Get an clear edge over other students by constant revision of important topics with an awesome teacher. - Get your doubts and questions resolved instantly by booking an instant live session - Prepare for competitive exams with our exam courses and achieve your goal - Skipped a topic in tuitions? Learn it on Vedantu by taking our topic courses

 

CBSE Board Papers Class 12 - 2014 - Mathematics - Question 13 a
by added on Mon Feb 16 09:46:21 UTC 2015 111 views
Question - Evaluate: -------- Vedantu - Your Personal Teacher Online - Get an clear edge over other students by constant revision of important topics with an awesome teacher. - Get your doubts and questions resolved instantly by booking an instant live session - Prepare for competitive exams with our exam courses and achieve your goal - Skipped a topic in tuitions? Learn it on Vedantu by taking our topic courses

 

CBSE Board Papers Class 12 - 2014 - Mathematics - Question 12 a
by added on Mon Feb 16 08:42:01 UTC 2015 108 views
Question - Show that the four points A, B, C and D with position vectors ............. Respectively are coplanar. Vedantu - Your Personal Teacher Online - Get an clear edge over other students by constant revision of important topics with an awesome teacher. - Get your doubts and questions resolved instantly by booking an instant live session - Prepare for competitive exams with our exam courses and achieve your goal - Skipped a topic in tuitions? Learn it on Vedantu by taking our topic courses

 

CBSE Board Papers Class 12 - 2014 - Mathematics - Question 26 b
by added on Mon Feb 16 05:56:32 UTC 2015 107 views
Question - Two numbers are selected at random (without replacement) from the first six positive integers. Let X denote the larger of the two numbers obtained. Find the probability distribution of the random variable X, and hence find the mean of the distribution. Vedantu - Your Personal Teacher Online - Get an clear edge over other students by constant revision of important topics with an awesome teacher. - Get your doubts and questions resolved instantly by booking an instant live session - Prepare for competitive exams with our exam courses and achieve your goal - Skipped a topic in tuitions? Learn it on Vedantu by taking our topic courses

 

CBSE Board Papers Class 12 - 2014 - Mathematics - Question 14 a
by added on Mon Feb 16 08:55:14 UTC 2015 100 views
Question - Find the value(s) of x for which y = [x (x- 2)]^2 is an increasing function. Vedantu - Your Personal Teacher Online - Get an clear edge over other students by constant revision of important topics with an awesome teacher. - Get your doubts and questions resolved instantly by booking an instant live session - Prepare for competitive exams with our exam courses and achieve your goal - Skipped a topic in tuitions? Learn it on Vedantu by taking our topic courses

 
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