376 |
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
|
377 |
Integrate a) b) c) d)
|
IIT 1978 |
04:43 min
|
378 |
If f(x) be the interval of find a) ½ b) 1 c) 2 d) 4
If f(x) be the interval of find a) ½ b) 1 c) 2 d) 4
|
IIT 1979 |
01:57 min
|
379 |
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
|
380 |
= a) b) c) d)
|
IIT 1983 |
02:26 min
|
381 |
Let A = . Determine a vector R satisfying and .
|
IIT 1990 |
03:53 min
|
382 |
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
|
383 |
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
|
384 |
Show that = where y =
|
IIT 1996 |
04:40 min
|
385 |
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
|
386 |
For any natural number m, show that
For any natural number m, show that
|
IIT 2002 |
04:12 min
|
387 |
If a, b, c, d are distinct vectors satisfying relation and . Prove that
|
IIT 2004 |
02:40 min
|
388 |
If two circles and intersect in two distinct points, then a) 2 < r < 8 b) r < 2 c) r = 2 d) r > 2
If two circles and intersect in two distinct points, then a) 2 < r < 8 b) r < 2 c) r = 2 d) r > 2
|
IIT 1989 |
04:34 min
|
389 |
Let f : ℝ → ℝ and g : ℝ → ℝ be continuous functions. Then the value of integral is a) π b) 1 c) – 1 d) 0
Let f : ℝ → ℝ and g : ℝ → ℝ be continuous functions. Then the value of integral is a) π b) 1 c) – 1 d) 0
|
IIT 1990 |
01:59 min
|
390 |
Let f(x) = where p is a constant Then at x = 0 is a) p b) c) d) Independent of p
Let f(x) = where p is a constant Then at x = 0 is a) p b) c) d) Independent of p
|
IIT 1997 |
04:22 min
|
391 |
If two distinct chords drawn from the point (p, q) on the circle (where pq ≠ 0) are bisected by the X-axis then a) b) c) d)
If two distinct chords drawn from the point (p, q) on the circle (where pq ≠ 0) are bisected by the X-axis then a) b) c) d)
|
IIT 1999 |
05:52 min
|
392 |
a) b) c) d)
|
IIT 1997 |
02:03 min
|
393 |
equals a) b) c) d)
|
IIT 2007 |
01:21 min
|
394 |
If f(x) = x – [x] for every real number x, where [x] is the integral part of x, then is a) 1 b) 2 c) 0 d)
If f(x) = x – [x] for every real number x, where [x] is the integral part of x, then is a) 1 b) 2 c) 0 d)
|
IIT 1998 |
02:21 min
|
395 |
A unit vector perpendicular to the plane determined by the points P (1, -1, 2), Q (2, 0, -1) and R (0, 2, 1) is . . . . .
A unit vector perpendicular to the plane determined by the points P (1, -1, 2), Q (2, 0, -1) and R (0, 2, 1) is . . . . .
|
IIT 1994 |
03:33 min
|
396 |
Let y = Find a) b) c) d) 0
Let y = Find a) b) c) d) 0
|
IIT 1984 |
02:52 min
|
397 |
If one of the diameters of the circle is a chord to the circle with centre (2, 1) then the radius of the circle is a) b) c) 3 d) 2
If one of the diameters of the circle is a chord to the circle with centre (2, 1) then the radius of the circle is a) b) c) 3 d) 2
|
IIT 2004 |
02:47 min
|
398 |
If Then = a) 0 b) 1 c) 2 d) 3
If Then = a) 0 b) 1 c) 2 d) 3
|
IIT 2000 |
02:01 min
|
399 |
Let a, b and c be three vectors having magnitudes 1, 1 and 2 respectively. If then the acute angle between a and c is . . . . .
Let a, b and c be three vectors having magnitudes 1, 1 and 2 respectively. If then the acute angle between a and c is . . . . .
|
IIT 1997 |
04:42 min
|
400 |
The derivative of an even function is always an odd function. a) False b) True
The derivative of an even function is always an odd function. a) False b) True
|
IIT 1983 |
01:33 min
|