January 7, 2021 – 8:39 pm
January 6, 2021 – 1:41 am
Problem 1:

If , then is (i) (ii) (iii) y (iv)

Problem 2:

If , when ;

, when ;

, when ; then, at , the value of is

(a) 1 (b) -1 (c) 0 (d) does not exist.

Problem 3:

If , then is equal to

(i) (ii)

(iii) (iv)

Problem 4:

If g is the inverse function of f and , then is equal to

(i) (ii) (iii) (iv)

Problem 5:

If then at is :

(i) 0 (ii) 1 (iii) (iv)

Problem 6:

If then is equal to :

(i)

(ii)

(iii)

(iv)

Problem 7:

If , then equals:

(i) (ii) (iii)

(iv)

Problem 8:

If and

then the value of at is given by:

(a) 0 (b) 1/2 (c) 1 (d) -1

Problem 9:

If , , then is equal to:

(i) (ii) (iii) (iv)

Problem 10:

If , then equals:

(a) (b) (c) (d) none

Regards,

Nalin Pithwa

November 14, 2020 – 5:09 pm
Problem 1:

The derivative of w.r.t. at is

(a) 2 (b) -4 (c) 1 (d) -2

Problem 2:

If and , then

(a) (b) (c) (d)

Problem 3:

If , then is

(a) (b) (c) (d)

Problem 4:

If , then is

(a) (b) (c) (d) x

Problem 5:

If , then is

(a) (b) (c) (d)

Problem 6:

Let f, g, h and k be differentiable in , if F is defined as for all a, b, then is given by:

(i)

(ii)

(iii)

(iv)

Problem 7:

If , then at is equal to:

(i) 1 (ii) -1 (iii) 2 (iv) 3

Problem 8:

If , then

(i) (ii) (iii) (iv)

Problem 9:

If , then the value of will be

(i) 0 (ii) 1 (iii) -1 (iv)

Problem 10:

Let , where p is a constant, then at is

(a) p (b) (c) (d) independent of p

Regards,

Nalin Pithwa

November 13, 2020 – 11:16 pm
Problem 1:

Given , , then is equal to

(a)

(b)

(c)

(d)

Problem 2:

is equal to

(a) 0 (b) (c) (d) 2

Problem 3:

If , then is equal to :

(a) 1 (b) \ (c) (d)

Problem 4:

If , then

(a) 12 (b) (c) (d)

Problem 5:

If , then

(a) 0 (b) 1 (c) (d) abc

Problem 6:

If , then is equal to

(a) (b) (c) (d)

Problem 7:

If , , then

(a) (b) (c) (d)

Problem 8:

If , then

(a) (b) (c) (d)

Problem 9:

If , , then

(a) (b) (c) (d) 0

Problem 10:

If , a, b arbitrary constants, then

(a) (b) (c) (d)

Regards,

Nalin Pithwa

November 12, 2020 – 10:47 pm
Assume ;

Hence,

If then, , , ,

And, if simultaneously, the values of x, y, z thus found satisfy , we shall have obtained the required root.

Example:

Find the square root of .

Solution:

Clearly, we can’t have anything like

We will have to try the following options:

.

Only the last option will work as we now show:

So, once again, assume that

Hence,

Put , , ;

by multiplication, ; that is ; so it follows that : , , .

And, since, these values satisfy the equation , the required root is .

That is all, for now,

Regards,

Nalin Pithwa

November 9, 2020 – 1:17 pm
Any maths questions from any where or any other branded class problems sets.

Contact Nalin Pithwa

October 28, 2020 – 2:34 pm
October 26, 2020 – 4:22 am
Problem 1:

If , , , , then the value of is

(a) -5 (b) (c) 5 (d) 0

Problem 2:

Let , and , then is equal to :

(a) (b) (c) (d) none

Problem 3:

Let for

and for then f is derivable at , if

(a) (b) (c) (d)

Problem 4:

If for

if for , where , then is continuous and differentiable at , if

(a) (b) (c) (d)

Problem 5:

is equal to

(a) (b) (c) (d)

Problem 6:

is equal to

(a) (b) (c) (d)

Problem 7:

where

(a) (b) (c) (d)

Problem 8:

is equal to

(a) (b) (c) (d)

Problem 9:

If and , then is equal to

(a) (b) (c) (d)

Problem 10:

If , then is equal to

(a) -1 (b) (c) (d)

Regards,

Nalin Pithwa

October 26, 2020 – 12:36 am
Problem 1:

If , , then find .

Problem 2:

If , then find the value of .

Problem 3:

Find the derivative of w.r.t. x.

Problem 4:

Let , then find the value of .

Problem 5:

If , then find the value of .

Problem 6:

If , then find the value of .

Problem 7:

If , , then evaluate .

Problem 8:

If , then evaluate .

Problem 9:

If , then evaluate .

Problem 10:

If , then find

Problem 11:

If , then evaluate at .

Problem 12:

If , then evaluate .

Problem 13:

If and , find . One of the given choices is correct:

(a)

(b)

(c)

(d) none of these

Problem 14:

If and , then is given by:

(a) 1 (b) 0 (c) 12 (d) -1

Regards,

Nalin Pithwa

October 18, 2020 – 8:00 am
Problem 1:

A function is defined as follows:

when

is continuous at .

The value of a should be

(i) (b) (c) 2 (d) none

Problem 2:

If when is continuous at , then what is the value of

Problem 3:

Given , when

and when

and when

if f is continuous at and and , then the value of

(i) 0 (ii) 1 (iii) 2 (iv) 3

Problem 4:

If the function is continuous on its domain where

for

for

for

then the quadratic equation whose roots are 2a and 2b is:

(i) (b) (c) (d)

Problem 5:

The value of c for which the function

when

when

is continuous at is

(i) 1/2 (ii) -1/2 (iii) 2 (iv) -2

Problem 6:

If when

, when

when

is continuous at , then a and b have the values:

(i) (ii) (iii) (iv)

Problem 7:

If , when is continuous at then

(a) 1/2 (b) -1/2 (c) 2 (d) none of these

Problem 8:

If and , then

(i) 4/3 (b) 5/3 (c) 2 (d) 7/3

Problem 9:

Evaluate the following:

Regards,

Nalin Pithwa