﻿ If A is a square matrix such that  then write the value of  where I is an identity matrix. from Class 12 CBSE Previous Year Board Papers | Mathematics 2014 Solved Board Papers

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# CBSE Class 12 Mathematics Solved Question Paper 2014

1.

Prove that

We need to prove that

Consider x = cos2t;

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2.

Find the value(s) of x for which y =  is an increasing function.

Given function is

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3.

If  find the value of x.

Given that
We need to find the value of x

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4.

If  is a relation on N, write the range of R.

The set of natural numbers, N, = {1, 2, 3, 4, 5, 6.....}
The relation is given as

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5.

Prove that
If  find the value of x.

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# 6.If A is a square matrix such that  then write the value of  where I is an identity matrix.

Given that
We need to find the value of  Where I is the identity matrix.
Thus,

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7.

Find the equations of the tangent and normal to the curve

Let  be the equation of the curve.
Rewriting the above equation as,

Differentiating the above function with respect to x, we get,

Slope of the tangent is
Equation of the tangent is

Slope of the normal is
Equation of the normal is

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8.

Given that
We need to find the value of x+y+xy.

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9.

If the function f: R  R  be given by  be given by  find fog and gof and hence find fog (2) and gof ( −3).

Given that
Let us find fog:

Therefore,

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10.

We need to find the value of x+y.

Two matrices A and B are equal to each other, if they have the same dimensions and the same elements

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