676 |
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
|
677 |
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
|
678 |
(1 + ax)n = 1 + 8x + 24x2 + . . . then a = . . ., n = . . .
(1 + ax)n = 1 + 8x + 24x2 + . . . then a = . . ., n = . . .
|
IIT 1983 |
02:24 min
|
679 |
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
|
680 |
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
|
681 |
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
|
682 |
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
|
683 |
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
|
684 |
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
|
685 |
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
|
686 |
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
|
687 |
For n > 0, is a)  b) π c)  d) 
For n > 0, is a)  b) π c)  d) 
|
IIT 1996 |
08:23 min
|
688 |
The value of the definite integral is a) – 1 b) 2 c)  d) 
The value of the definite integral is a) – 1 b) 2 c)  d) 
|
IIT 1981 |
02:44 min
|
689 |
Let A be the centre of the circle . Suppose the tangents at the points B (1, 7) and D (4, 2) on the circle meet at the point C, find the area of the quadrilateral ABCD.
Let A be the centre of the circle . Suppose the tangents at the points B (1, 7) and D (4, 2) on the circle meet at the point C, find the area of the quadrilateral ABCD.
|
IIT 1981 |
06:52 min
|
690 |
Find all the values of θ in the interval satisfying the equation . a)  b)  c)  d) 
Find all the values of θ in the interval satisfying the equation . a)  b)  c)  d) 
|
IIT 1996 |
01:41 min
|
691 |
If f (x) = 3x – 5 then f -1 (x) a) is given by  b) is given by  c)  d) 
If f (x) = 3x – 5 then f -1 (x) a) is given by  b) is given by  c)  d) 
|
IIT 1998 |
01:38 min
|
692 |
Evaluate  a) 0 b)  c)  d) 1
|
IIT 1978 |
01:06 min
|
693 |
Let f : R → R be any function defined g : R → R by g (x) = |f (x)| for all x. Then g is a) onto if f is onto b) one to one if f is one to one c) continuous if f is continuous d) differentiable if f is differentiable
Let f : R → R be any function defined g : R → R by g (x) = |f (x)| for all x. Then g is a) onto if f is onto b) one to one if f is one to one c) continuous if f is continuous d) differentiable if f is differentiable
|
IIT 2000 |
|
694 |
If f : [ 1, → [ 2, ] is given by f (x) = x + then ( x ) is given by a)  b)  c)  d) 1 + 
|
IIT 2001 |
|
695 |
The function of f : R → R be defined by f (x) = 2x + sinx for x ε R . Then f is a) one-one and onto b) one-one but not onto c) onto but not one-one d) neither one-one nor onto
The function of f : R → R be defined by f (x) = 2x + sinx for x ε R . Then f is a) one-one and onto b) one-one but not onto c) onto but not one-one d) neither one-one nor onto
|
IIT 2002 |
|
696 |
Multiple choice There exists a triangle ABC satisfying the conditions a) bsinA = a, A < b) bsinA > a, A > c) bsinA > a, A < d) bsinA < a, A < , b > a e) bsinA < a, A > , b = a
Multiple choice There exists a triangle ABC satisfying the conditions a) bsinA = a, A < b) bsinA > a, A > c) bsinA > a, A < d) bsinA < a, A < , b > a e) bsinA < a, A > , b = a
|
IIT 1986 |
|
697 |
With usual notation if in a triangle ABC, then . a) True b) False
With usual notation if in a triangle ABC, then . a) True b) False
|
IIT 1984 |
|
698 |
If in a triangle ABC, cosA cosB + sinA sinB sin C = 1 then show that a : b : c = 1 : 1 :  a) True b) False
If in a triangle ABC, cosA cosB + sinA sinB sin C = 1 then show that a : b : c = 1 : 1 :  a) True b) False
|
IIT 1986 |
|
699 |
If the lines and intersect then the value of k is a)  b)  c)  d) 
If the lines and intersect then the value of k is a)  b)  c)  d) 
|
IIT 2004 |
|
700 |
The area of a triangle whose vertices are is
The area of a triangle whose vertices are is
|
IIT 1983 |
|