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Question(s) from Search: IIT

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476

 is

a) 2

b) – 2

c)

d)

 is

a) 2

b) – 2

c)

d)

IIT 1999
03:16 min
477

Evaluate

a)

b)

c)

d)

Evaluate

a)

b)

c)

d)

IIT 1991
09:59 min
478

Which of the following are rational?

a)

b)

c)

d)

Which of the following are rational?

a)

b)

c)

d)

IIT 1998
02:53 min
479

Using mathematical induction prove that
 

Using mathematical induction prove that
 

IIT 1993
08:39 min
480

For x ε R,  is equal to

a) e

b)

c)

d)

For x ε R,  is equal to

a) e

b)

c)

d)

IIT 2000
06:08 min
481

Find the centre of the circle passing through (0, 0) and (1, 0) and touching the circle .

Find the centre of the circle passing through (0, 0) and (1, 0) and touching the circle .

IIT 1992
06:33 min
482

The number of integral values of k for which the equation  has a solution is

a) 4

b) 8

c) 10

d) 12

The number of integral values of k for which the equation  has a solution is

a) 4

b) 8

c) 10

d) 12

IIT 2002
03:40 min
483

Evaluate if sin |x| - |x| is differentiable at x = 0.

a) Yes

b) No

Evaluate if sin |x| - |x| is differentiable at x = 0.

a) Yes

b) No

IIT 2001
04:00 min
484

Prove that  Hence or otherwise evaluate the integral .

Prove that  Hence or otherwise evaluate the integral .

IIT 1998
05:19 min
485

Fill in the blank

Let A, B, C be three vectors of length 3, 4, 5 respectively. Let A is perpendicular to B + C, B is perpendicular to C + A, and C is perpendicular to A + B then the length of the vector  is equal to  . . . .

Fill in the blank

Let A, B, C be three vectors of length 3, 4, 5 respectively. Let A is perpendicular to B + C, B is perpendicular to C + A, and C is perpendicular to A + B then the length of the vector  is equal to  . . . .

IIT 1981
02:17 min
486

The number of common tangents to the circles  and  is

a) 0

b) 1

c) 3

d) 4

The number of common tangents to the circles  and  is

a) 0

b) 1

c) 3

d) 4

IIT 1998
04:08 min
487

Use mathematical induction to show that (25)n + 1 – 24n + 5735 is divisible by (24)2 for all n = 1, 2, .  .  .

Use mathematical induction to show that (25)n + 1 – 24n + 5735 is divisible by (24)2 for all n = 1, 2, .  .  .

IIT 2002
10:18 min
488

given that  and

a) does not exist

b) is equal to

c) is equal to

d) is equal to 3

given that  and

a) does not exist

b) is equal to

c) is equal to

d) is equal to 3

IIT 2003
02:46 min
489

If  are given vectors then the vector B satisfying the equation  and  is . . . . .

If  are given vectors then the vector B satisfying the equation  and  is . . . . .

IIT 1985
03:28 min
490

If the circles  and  intersect orthogonally then k is

a) 2 or

b) – 2  or

c) 2 or

d) – 2 or

If the circles  and  intersect orthogonally then k is

a) 2 or

b) – 2  or

c) 2 or

d) – 2 or

IIT 2000
02:40 min
491

In a ΔABC,  then find the other sides and angles

a) A = 60°, B = 60°, c =

b) A = 45°, B = 75°, c =

c) A = 75°, B = 45°, c =

d) A = 15°, B = 105°, c =

In a ΔABC,  then find the other sides and angles

a) A = 60°, B = 60°, c =

b) A = 45°, B = 75°, c =

c) A = 75°, B = 45°, c =

d) A = 15°, B = 105°, c =

IIT 1978
03:06 min
492

(1 + ax)n = 1 + 8x + 24x2 + .  .  . then a = .  . ., n = .  .  .

(1 + ax)n = 1 + 8x + 24x2 + .  .  . then a = .  . ., n = .  .  .

IIT 1983
02:24 min
493

Given that a = (1, 1, 1), c = (0, 1, −1), a . b = 3,  then b is equal to

Given that a = (1, 1, 1), c = (0, 1, −1), a . b = 3,  then b is equal to

IIT 1991
02:22 min
494

If a > 2b > 0 then the positive value of m for which
 is a common tangent to  and is

a)

b)

c)

d)

If a > 2b > 0 then the positive value of m for which
 is a common tangent to  and is

a)

b)

c)

d)

IIT 2002
05:23 min
495

Find the coordinates of the point of intersection of the curves
y = cosx and y = sin3x if .

a) (((

b) ((

c) (

d) (

Find the coordinates of the point of intersection of the curves
y = cosx and y = sin3x if .

a) (((

b) ((

c) (

d) (

IIT 1982
03:54 min
496

If f (x) = cos (lnx) then f (x) f (y) −   has the value of

a) −1

b)

c) −2

d) None of these

If f (x) = cos (lnx) then f (x) f (y) −   has the value of

a) −1

b)

c) −2

d) None of these

IIT 1983
02:43 min
497

Multiple choices

The function

a) continuous at x = 1

b) differentiable at x = 1

c) continuous at x = 3

d) differentiable at x = 3

Multiple choices

The function

a) continuous at x = 1

b) differentiable at x = 1

c) continuous at x = 3

d) differentiable at x = 3

IIT 1988
04:52 min
498

The value of  is

a) 0

b) 1

c) 2

d) 4

The value of  is

a) 0

b) 1

c) 2

d) 4

IIT 1989
03:14 min
499

If b and c are any two non-collinear unit vectors and a is any vector then    .  .  .  .  .

If b and c are any two non-collinear unit vectors and a is any vector then    .  .  .  .  .

IIT 1996
03:25 min
500

Tangent to the curve  at the point P(1, 7) touches the circle  at a point Q then the coordinates of Q are

a)

b)

c)

d)

Tangent to the curve  at the point P(1, 7) touches the circle  at a point Q then the coordinates of Q are

a)

b)

c)

d)

IIT 2005
05:15 min

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