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Question(s) from Search: IIT

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601

If  and α, β lie between 0 and  find  

a)

b)

c)

d) 2

If  and α, β lie between 0 and  find  

a)

b)

c)

d) 2

IIT 1979
03:00 min
602

The product of n positive real numbers is unity. Then their sum is

a) A positive integer

b) Divisible by n

c) Equal to

d) Never less than n

The product of n positive real numbers is unity. Then their sum is

a) A positive integer

b) Divisible by n

c) Equal to

d) Never less than n

IIT 1991
00:53 min
603

If and , then find  

If and , then find  

IIT 1982
01:40 min
604

The integral  equals

a)

b)

c) 1

d)

The integral  equals

a)

b)

c) 1

d)

IIT 2002
03:16 min
605

The inequality |z – 4| < |z – 2| represents the region given by

a) Re(z) ≥ 0

b) Re(z) < 0

c) Re(z) > 0

d) None of these

The inequality |z – 4| < |z – 2| represents the region given by

a) Re(z) ≥ 0

b) Re(z) < 0

c) Re(z) > 0

d) None of these

IIT 1982
01:58 min
606

a) True

b) False

a) True

b) False

IIT 1988
03:38 min
607

Coefficient of t24 in (1 + t2)12 (1 + t12) (1 + t24) is

a)

b)

c)

d)

Coefficient of t24 in (1 + t2)12 (1 + t12) (1 + t24) is

a)

b)

c)

d)

IIT 2003
03:19 min
608

If f (x) = |x – 2| and g (x) =  then  for x > 20

a) 0

b) 1

c) 2

d) 4

If f (x) = |x – 2| and g (x) =  then  for x > 20

a) 0

b) 1

c) 2

d) 4

IIT 1990
01:14 min
609

The value of the integral  is

a)

b)

c)

d)

The value of the integral  is

a)

b)

c)

d)

IIT 2004
02:02 min
610

If tan A  then

a) True

b) False

If tan A  then

a) True

b) False

IIT 1980
01:00 min
611

For a real y, let [y] denote the greatest integer less than or equal to y. Then the function  is

a) Discontinuous at some x

b) Continuous at all x but the derivative  does not exist for some x

c)  exists for all x but the derivative  does not exist for some x

d)  exists for all x

For a real y, let [y] denote the greatest integer less than or equal to y. Then the function  is

a) Discontinuous at some x

b) Continuous at all x but the derivative  does not exist for some x

c)  exists for all x but the derivative  does not exist for some x

d)  exists for all x

IIT 1981
02:16 min
612

Show that

Show that

IIT 1981
01:28 min
613

The position vectors of the point A, B, C, D are  respectively. If the points A, B, C and D lie in a plane, find the value of λ.

The position vectors of the point A, B, C, D are  respectively. If the points A, B, C and D lie in a plane, find the value of λ.

IIT 1986
03:41 min
614

If k =  then the numerical value of k is ……….

a)

b)

c)

d)

If k =  then the numerical value of k is ……….

a)

b)

c)

d)

IIT 1993
02:32 min
615

If f (a) =  then the value of  is

a) – 5

b)

c) 5

d) None of these

If f (a) =  then the value of  is

a) – 5

b)

c) 5

d) None of these

IIT 1983
01:55 min
616

Evaluate

a)

b)

c)

d)

Evaluate

a)

b)

c)

d)

IIT 1983
05:32 min
617

Let A = . Determine a vector R satisfying  and .

Let A = . Determine a vector R satisfying  and .

IIT 1990
03:53 min
618

If a, b, c are in Arithmetic Progression then the straight line
 will pass through a fixed point whose coordinates are  . . . . .

If a, b, c are in Arithmetic Progression then the straight line
 will pass through a fixed point whose coordinates are  . . . . .

IIT 1984
01:35 min
619

If  then

tan

a) True

b) False

If  then

tan

a) True

b) False

IIT 1979
01:42 min
620

Evaluate

a)

b)

c)

d)

Evaluate

a)

b)

c)

d)

IIT 1985
04:33 min
621

Let C be the curve  . If H is the set of points on the curve C when the tangent is horizontal and v be the set of all points on the curve C when the tangent is vertical then H  =  . . . . .  and v = . . . . .

Let C be the curve  . If H is the set of points on the curve C when the tangent is horizontal and v be the set of all points on the curve C when the tangent is vertical then H  =  . . . . .  and v = . . . . .

IIT 1994
04:09 min
622

In a triangle ABC, angle A is greater than angle B. If the measures of angle A and B satisfy the equation , then the measure of angle C is

a)

b)

c)

d)

In a triangle ABC, angle A is greater than angle B. If the measures of angle A and B satisfy the equation , then the measure of angle C is

a)

b)

c)

d)

IIT 1990
01:43 min
623

Prove that C0 – 22C1 + 32C2 − .  .  .  + (−)n  (n + 1)2 Cn = 0 for n > 2 where

Prove that C0 – 22C1 + 32C2 − .  .  .  + (−)n  (n + 1)2 Cn = 0 for n > 2 where

IIT 1989
05:31 min
624

Show that

Show that

IIT 1990
05:42 min
625

The centre of the circle passing through (0, 1) and touching the curve  at (2, 4) is

a)

b)

c)

d) None of these

The centre of the circle passing through (0, 1) and touching the curve  at (2, 4) is

a)

b)

c)

d) None of these

IIT 1983
07:23 min

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