The angle between lines joining the origin to the point of intersection of the line x + y = 2 and the curve y2 - x2 = 4 is
If the area of the triangle on the complex plane formed by the points z, z + iz and iz is 200, then the value of 3lz I must be equal to
20
40
60
80
Equation of the chord of the hyperbola 25x2 - 16y2 = 400 which is bisected at the point (6, 2), is
6x - 7y = 418
75x - 16y = 418
25x - 4y = 400
None of these
A four-digit number is formed by the digits 1, 2, 3, 4 with no repetition. The probability that the number is odd, is
zero
None of these
D.
None of these
Given numbers are 1, 2, 3, 4.
Possibilities for unit's place digit (either 1 or 3)
= 2
Possibilities for ten's digit = 3
Possibilities for hundred's place digit = 2
Possibilities for thousand' place's digit = 1
Number of favourable outcomes
=
Number of numbers formed by 1, 2, 3, 4 (without repetitions) = 4!
Required probability =
The equation of normal to the curve y = (1 + x)y +sin-1(sin2(x)) at a = 0 is
x + y = 1
x - y = 1
x + y = - 1
x - y = - 1
The value of cfrom the Lagrange's mean value theorem for which f(x) = in [1, 5], is
5
1
None of these
If there is an error of h % in measuring the edge of a cube, then the per cent error in estimating its volume is
k
3k
None of these
If the system of equations x + ky - z = 0, 3x - ky - z = 0 and x - 3y + z =0, has non-zero solution, then k is equal to
- 1
0
1
2