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.
25 video solutions

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 - 2013 - Mathematics - Question 16 b
by added on Mon Mar 02 09:32:06 UTC 2015 143 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 12 - 2013 - Mathematics - Question 25 b
by added on Mon Mar 02 06:36:42 UTC 2015 124 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 - 2013 - Mathematics - Question 22
by added on Mon Mar 02 06:49:21 UTC 2015 100 views
Question - A speaks truth in 60% of the cases, while B in 90% of the cases. In what percent of cases are they likely to contradict each other in stating the same fact? In the cases of contradiction do you think, the statement of B will carry more weight as he speaks truth in more number of cases than 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 12 - 2013 - Mathematics - Question 23
by added on Mon Mar 02 06:48:39 UTC 2015 100 views
Question - A school wants to award its students for the values of Honesty, Regularity and Hard work with a total cash award of Rs 6,000. Three times the award money for Hard work added to that given for honesty amounts to Rs 11,000. The award money given for Honesty and Hard work together is double the one given for Regularity. Represent the above situation algebraically and find the award money for each value, using matrix method. Apart from these values, namely, Honesty, Regularity and Hard work, suggest one more value which the school must include for awards. 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 15
by added on Mon Mar 02 11:19:05 UTC 2015 61 views
Question - If y = log ------------ 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 28
by added on Mon Mar 02 06:33:50 UTC 2015 60 views
Question - A cooperative society of farmers has 50 hectares of land to grow two crops A and B. The profits from crops A and B per hectare are estimated as Rs 10,500 and Rs 9,000 respectively. To control weeds, a liquid herbicide has to be used for crops A and B at the rate of 20 litres and 10 litres per hectare, respectively. Further not more than 800 litres of herbicide should be used in order to protect fish and wildlife using a pond which collects drainage from this land. Keeping in mind that the protection of fish and other wildlife is more important than earning profit, how much land should be allocated to each crop so as to maximize the total profit? Form an LPP from the above and solve it graphically. Do you agree with the message that the protection of wildlife is utmost necessary to preserve the balance in environment? 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 26
by added on Mon Mar 02 06:35:43 UTC 2015 58 views
Question - Show that the differential equation 2ye^x/y dx + (y – 2x e^x/y) dy = 0 is homogeneous. Find the particular solution of this differential equation, given that x = 0 when y = 1. 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 18
by added on Mon Mar 02 09:26:46 UTC 2015 54 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 - 2013 - Mathematics - Question 29
by added on Mon Mar 02 06:32:25 UTC 2015 54 views
Question - Assume that the chances of a patient having a heart attack is 40%. Assuming that a meditation and yoga course reduces the risk of heart attack by 30% and prescription of certain drug reduces its chance by 25%. At a time a patient can choose any one of the two options with equal probabilities. It is given that after going through one of the two options, the patient selected at random suffers a heart attack. Find the probability that the patient followed a course of meditation 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 12 a
by added on Mon Mar 02 11:23:22 UTC 2015 47 views
Question - Find the value of the following: ------- 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 13
by added on Mon Mar 02 11:21:05 UTC 2015 47 views
Question - Using properties of determinants, prove the following: ------------- 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 17 a
by added on Mon Mar 02 09:28:56 UTC 2015 46 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 - 2013 - Mathematics - Question 27
by added on Mon Mar 02 06:34:51 UTC 2015 45 views
Question - Find the vector equation of the plane passing through three points with position vectors --------Also, find the coordinates of the point of intersection of this plane and the line ------- 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 12 b
by added on Mon Mar 02 11:22:10 UTC 2015 44 views
Question - Prove that ----------- 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 21 a
by added on Mon Mar 02 06:51:19 UTC 2015 44 views
Question - Find the coordinates of the point, where the line -------- intersects the plane x – y + z – 5 = 0. Also find the angle between the line and the plane. 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 a
by added on Mon Mar 02 06:37:29 UTC 2015 43 views
Question - Using integration, find the area bounded by the curve x^2 = 4y and the line x = 4y – 2. 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 21 b
by added on Mon Mar 02 06:50:13 UTC 2015 42 views
Question - Find the vector equation of the plane which contains the line of intersection of the planes --------------- and which is perpendicular to the plane --------- 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 24 a
by added on Mon Mar 02 06:47:30 UTC 2015 41 views
Question - Show that the height of the cylinder of maximum volume, which can be inscribed in a sphere of radius R is ------ Also find the maximum volume. 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 24 b
by added on Mon Mar 02 06:46:06 UTC 2015 41 views
Question - Find the equation of the normal at a point on the curve x^2 = 4y which passes through the point (1, 2). Also, find the equation of the corresponding tangent. 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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