301 |
equals a) – π b) π c) d) 1
equals a) – π b) π c) d) 1
|
IIT 2001 |
03:01 min
|
302 |
Evaluate
Evaluate
|
IIT 1995 |
09:27 min
|
303 |
Evaluate a) b) c) d)
|
IIT 1999 |
01:51 min
|
304 |
If at x = π a) b) π c) 2π d) 4π
If at x = π a) b) π c) 2π d) 4π
|
IIT 2004 |
01:14 min
|
305 |
Multiple choices If x + |y| = 2y, then y as a function of x is a) Defined for all real x b) Continuous at x = 0 c) Differentiable for all x d) Such that for x < 0
Multiple choices If x + |y| = 2y, then y as a function of x is a) Defined for all real x b) Continuous at x = 0 c) Differentiable for all x d) Such that for x < 0
|
IIT 1984 |
03:53 min
|
306 |
The value of the integral is equal to a a) True b) False
The value of the integral is equal to a a) True b) False
|
IIT 1988 |
01:46 min
|
307 |
Multiple choices Let g(x) be a function defined on If the area of the equilateral triangle with two of its vertices at (0, 0) and (x, g (x)) is then the function g (x) is a) b) c) d)
Multiple choices Let g(x) be a function defined on If the area of the equilateral triangle with two of its vertices at (0, 0) and (x, g (x)) is then the function g (x) is a) b) c) d)
|
IIT 1989 |
02:18 min
|
308 |
The value of is
The value of is
|
IIT 1993 |
08:21 min
|
309 |
Ten different letters of an alphabet are given. Words with five letters are formed from the given letters. Then the number of words which have at least one letter repeated is a) 69760 b) 30240 c) 99748 d) None of these
Ten different letters of an alphabet are given. Words with five letters are formed from the given letters. Then the number of words which have at least one letter repeated is a) 69760 b) 30240 c) 99748 d) None of these
|
IIT 1980 |
04:41 min
|
310 |
Evaluate a) 0 b) c) d) 1
|
IIT 1978 |
01:58 min
|
311 |
If then equals a) b) c) d) None of these
If then equals a) b) c) d) None of these
|
IIT 1998 |
03:14 min
|
312 |
If f (x + y) = f (x) + f (y) for all x and y. If the function f is continuous at x = 0 then f is continuous for all x. a) True b) False
If f (x + y) = f (x) + f (y) for all x and y. If the function f is continuous at x = 0 then f is continuous for all x. a) True b) False
|
IIT 1981 |
05:14 min
|
313 |
How many different 9 digit numbers can be formed from the numbers 223355888 by rearranging its digits so that the odd digits occupy even positions a) 16 b) 36 c) 60 d) 180
How many different 9 digit numbers can be formed from the numbers 223355888 by rearranging its digits so that the odd digits occupy even positions a) 16 b) 36 c) 60 d) 180
|
IIT 2000 |
03:12 min
|
314 |
Let f(x) = Discuss the continuity of on [0, 2] a) is continuous for all x ℝ b) is continuous for all x ℝ except at x = 1 c) is continuous for all x ℝ except at x = 1 and x = 2 d) is continuous for all x ℝ except at x = 0, x = 1 and x = 2
|
IIT 1983 |
04:54 min
|
315 |
A function f : ℝ → ℝ satisfies the equation f(x + y) = f(x) . f(y) x, y in ℝ and f(x) ≠ 0 for any x in ℝ. Let the function be differentiable at x = 0 and . Show that. Hence determine f(x). a) ex b) e2x c) 2ex d) 2e2x
A function f : ℝ → ℝ satisfies the equation f(x + y) = f(x) . f(y) x, y in ℝ and f(x) ≠ 0 for any x in ℝ. Let the function be differentiable at x = 0 and . Show that. Hence determine f(x). a) ex b) e2x c) 2ex d) 2e2x
|
IIT 1990 |
05:07 min
|
316 |
m men and n women are to be seated in a row so that no two women sit together. If m > n, then find the number of ways in which they can be seated.
m men and n women are to be seated in a row so that no two women sit together. If m > n, then find the number of ways in which they can be seated.
|
IIT 1983 |
03:36 min
|
317 |
Eighteen guests have to be seated, half on each side of a long table. Four particular guests desire to be on a particular side and three others on the other side. Determine the number of ways in which the seating arrangements can be made?
Eighteen guests have to be seated, half on each side of a long table. Four particular guests desire to be on a particular side and three others on the other side. Determine the number of ways in which the seating arrangements can be made?
|
IIT 1991 |
03:05 min
|
318 |
If and = and f(0) = 0. Find the value of . Given that 0 < < a) b) c) d) 1
|
IIT 2004 |
03:29 min
|
319 |
If exists then both the limits and exist a) True b) False
If exists then both the limits and exist a) True b) False
|
IIT 1981 |
03:33 min
|
320 |
Total number of ways in which six ‘+’ and four ‘’ signs can be arranged in a line so that no two ‘’signs occur together is …..
Total number of ways in which six ‘+’ and four ‘’ signs can be arranged in a line so that no two ‘’signs occur together is …..
|
IIT 1988 |
01:55 min
|
321 |
Identify a discontinuous function y = f(x) satisfying
Identify a discontinuous function y = f(x) satisfying
|
IIT 1982 |
02:05 min
|
322 |
If are complex numbers such that then is a) Equal to 1 b) Less than 1 c) Greater than 3 d) Equal to 3
If are complex numbers such that then is a) Equal to 1 b) Less than 1 c) Greater than 3 d) Equal to 3
|
IIT 2000 |
02:36 min
|
323 |
If f(9) = 9, then equals a) 0 b) 1 c) 2 d) 4
If f(9) = 9, then equals a) 0 b) 1 c) 2 d) 4
|
IIT 1988 |
02:24 min
|
324 |
a) 0 b) 1 c) e d) e2
a) 0 b) 1 c) e d) e2
|
IIT 1996 |
01:19 min
|
325 |
If |z| = 1 and z ≠ ±1 then the value of lie on a) a line not passing through the origin b) c) the X – axis d) the Y axis
If |z| = 1 and z ≠ ±1 then the value of lie on a) a line not passing through the origin b) c) the X – axis d) the Y axis
|
IIT 2007 |
02:46 min
|