Mathematics MCQS for class 12 with Answers Chapter 3

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Mathematics MCQS for class 12 with Answers


The solution of differential equation dy/dx = 1/?x2-1 is:
cot hx + c
y = cosh-1x + c
y = sinh-1 x+c
y = tanh-1x+ c

Substitution for the integrals involving the expression ?a2-x can be:
x = a sin?
x =a cosec?
x = a tan?
x = a cot?

-? ecotx-1/1+x2 dx =
esecx + c
etan-1x + c
ecot-1x + c
e tanx + c

?eax[af(x)+f'(x)]dx=________
1/a f(x) + c
1/aeax f(x)+c
eax f(x) + c
1/eax + c

?etan-1/1-x2 dx =
etan-1 x + c
e2x+c
tanx ex +c
ecotx + c

The inverse process of differentiation is called:
None of these
Integration
Anti-derivative
Both (a)&(b)

?3-1 x3 dx =
28
18
80
20

? Cosx /Sinx ln Sinx dx =________
Tan x + c
x Sin-1 x + ?(1-x2) + c ln(ln Sin x) + c
ln(ln Cos x) + c
ln Sin x

The solution of xdy/dx = 1 + y is
y= cx
1/a ln(ax+b)+c
None of these
y= cx – 1

The solution of dy/dx = -y is ________
y=cex
y=ex
y=e-x
y=ce-x

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