551 |
In a multiple choice question there are four alternative answers out of which one or more is correct. A candidate will get full marks in the question only if he ticks the correct answers. If he is allowed up to three chances to answer the question, find the probability that he will get marks in the question?
In a multiple choice question there are four alternative answers out of which one or more is correct. A candidate will get full marks in the question only if he ticks the correct answers. If he is allowed up to three chances to answer the question, find the probability that he will get marks in the question?
|
IIT 1985 |
05:36 min
|
552 |
If and then b is equal to a) b) c) d)
If and then b is equal to a) b) c) d)
|
IIT 2004 |
02:35 min
|
553 |
A box contains two 50 paise coins, 5 twenty five paise coins and a certain number N(≥ 2) of ten and five paise coins. Five coins are taken out of the box at random. Find the probability that the total value of these coins is less than one rupee and 50 paise.
A box contains two 50 paise coins, 5 twenty five paise coins and a certain number N(≥ 2) of ten and five paise coins. Five coins are taken out of the box at random. Find the probability that the total value of these coins is less than one rupee and 50 paise.
|
IIT 1988 |
06:49 min
|
554 |
(Fill in the blanks) The function y = 2x2 – ln|x| is monotonically increasing for values of x (≠0) satisfying the inequalities . . . . and monotonically decreasing for values of x satisfying the inequalities . . . . a) b) c) d)
(Fill in the blanks) The function y = 2x2 – ln|x| is monotonically increasing for values of x (≠0) satisfying the inequalities . . . . and monotonically decreasing for values of x satisfying the inequalities . . . . a) b) c) d)
|
IIT 1983 |
04:07 min
|
555 |
The number of distinct real values of λ for which are coplanar is a) Zero b) One c) Two d) three
The number of distinct real values of λ for which are coplanar is a) Zero b) One c) Two d) three
|
IIT 2007 |
03:01 min
|
556 |
Let f(x) = ∫ex (x – 1) (x − 2) dx, then f(x) decreases in the interval a) (−∞, −2) b) (−2, −1) c) (1, 2) d) (2, ∞)
Let f(x) = ∫ex (x – 1) (x − 2) dx, then f(x) decreases in the interval a) (−∞, −2) b) (−2, −1) c) (1, 2) d) (2, ∞)
|
IIT 2000 |
00:47 min
|
557 |
Multiple choice Which of the following expressions are meaningful a) b) c) d)
Multiple choice Which of the following expressions are meaningful a) b) c) d)
|
IIT 1998 |
01:15 min
|
558 |
Find the integral of a) tan−1x2 + c b) c) d)
Find the integral of a) tan−1x2 + c b) c) d)
|
IIT 1978 |
00:32 min
|
559 |
Find all values of λ such that and where are unit vectors along the coordinate vectors.
Find all values of λ such that and where are unit vectors along the coordinate vectors.
|
IIT 1982 |
04:48 min
|
560 |
The complex numbers sinx + icos2x and cosx – isin2x are conjugate to each other for a) a = nπ b) x = 0 c) x = d) None of these
The complex numbers sinx + icos2x and cosx – isin2x are conjugate to each other for a) a = nπ b) x = 0 c) x = d) None of these
|
IIT 1988 |
02:59 min
|
561 |
Show that =
Show that =
|
IIT 1980 |
01:51 min
|
562 |
Let OABC be a parallelogram with O as the origin and OC a diagonal. Let D be the midpoint of OA. Using vector method, prove that BD and CO intersect in the same ratio.
Let OABC be a parallelogram with O as the origin and OC a diagonal. Let D be the midpoint of OA. Using vector method, prove that BD and CO intersect in the same ratio.
|
IIT 1988 |
04:37 min
|
563 |
For positive integers n1 and n2 the value of the expression where is real if and only if a) b) c) d)
For positive integers n1 and n2 the value of the expression where is real if and only if a) b) c) d)
|
IIT 1995 |
04:45 min
|
564 |
= a) b) c) d)
|
IIT 1984 |
02:26 min
|
565 |
Determine the value of c so that for all real x the vector cx and make an obtuse angle with each other.
Determine the value of c so that for all real x the vector cx and make an obtuse angle with each other.
|
IIT 1991 |
03:25 min
|
566 |
= a) b) c) d)
|
IIT 1989 |
04:05 min
|
567 |
Show that =
Show that =
|
IIT 1997 |
04:06 min
|
568 |
Show that =
Show that =
|
IIT 1990 |
07:54 min
|
569 |
The lines and are diameters of a circle of area 154 square units. Then the equation of the circle is a) b) c) d)
The lines and are diameters of a circle of area 154 square units. Then the equation of the circle is a) b) c) d)
|
IIT 1989 |
03:02 min
|
570 |
The value of the integral is a) b) c) π d) None of these
The value of the integral is a) b) c) π d) None of these
|
IIT 1983 |
02:20 min
|
571 |
The angle between a pair of tangents drawn from a point P to the circle is 2α. Then the locus of P is a) b) c) d)
The angle between a pair of tangents drawn from a point P to the circle is 2α. Then the locus of P is a) b) c) d)
|
IIT 1996 |
05:15 min
|
572 |
The value of is a) 0 b) 1 c) d)
The value of is a) 0 b) 1 c) d)
|
IIT 1993 |
02:12 min
|
573 |
If A, B, C are three non-coplanar vectors then
If A, B, C are three non-coplanar vectors then
|
IIT 1985 |
02:22 min
|
574 |
If y is a function of x and ln (x + y) – 2xy = 0 then the value of y’ (0) is equal to a) 1 b) – 1 c) 2 d) 0
If y is a function of x and ln (x + y) – 2xy = 0 then the value of y’ (0) is equal to a) 1 b) – 1 c) 2 d) 0
|
IIT 2004 |
01:56 min
|
575 |
The triangle PQR is inscribed in the circle. If Q and R have coordinates (3, 4) and (-4, 3) respectively, then the ∠QPR is equal to a) b) c) d)
The triangle PQR is inscribed in the circle. If Q and R have coordinates (3, 4) and (-4, 3) respectively, then the ∠QPR is equal to a) b) c) d)
|
IIT 2000 |
02:46 min
|