Prepare for CBSE class 12 Maths board paper with the help of previous years solved question papers. Vedantu provides CBSE last 5-year Maths question paper with video solutions.

Question - Evaluate : .........
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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.
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Purnima Lodha
added on Mon Mar 02 08:49:42 UTC 2015 398 views

Question - Using properties of determinants, prove the following: ------ = (a – b) (b – c) (c – a) (a + b + c)
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Question - Using integration, find the area of the region bounded by the triangle V whose vertices are (-1, 2), (1, 5) and (3, 4).
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Solve the differential equation -------
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Question - If the function f :-------
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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.
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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?
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Purnima Lodha
added on Mon Mar 02 11:29:46 UTC 2015 177 views

Question - Show that the function f in A = R ------------
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Purnima Lodha
added on Mon Mar 02 09:32:06 UTC 2015 174 views

Question - If x = a sin t and y = a ----------
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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.
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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.
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Question - Evaluate : .........
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Reema Narula
added on Mon Feb 16 06:21:50 UTC 2015 153 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.
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Purnima Lodha
added on Mon Mar 02 06:36:42 UTC 2015 147 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.
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Question - Evaluate: --------
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Purnima Lodha
added on Mon Mar 02 06:48:39 UTC 2015 124 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.
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Question - Show that the four points A, B, C and D with position vectors
............. Respectively are coplanar.
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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°.
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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.
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