Let R denote the set of all real numbers and RT denote the set of all positive real numbers. For the subsets A and B of R define f : A B by f(x) = x2 for x A. Observe the two lists given below
A | f is one-one and onto, 1. A = R, B = R If |
1 | A = R+, B = R |
B | f is one-one but not onto, If |
2 | A = B = R |
C | f is onto but not one-one, if |
3 | A = R, B = R+ |
D | f is neither one-one nor onto If |
4 | A = B + R+ |
A. A B C D | (i) 1 2 3 4 |
B. A B C D | (ii) 4 2 1 3 |
C. A B C D | (iii) 4 1 3 2 |
D. A B C D | (iv) 4 2 1 3 |
An urn A contains 3 white and 5 black balls. Another um B contains 6 white and 8 black balls. A ball is picked from A at random andthen transferred to B. Then, a ball is picked at random from B. The probability that it is a white ball is
If a straight line L is perpendicular to the line 4x- 2y = 1 and forms a triangle of area 4 sq unit with the coordinate axes, then the equation of the line L is
2x + 4y + 7 = 0
2x - 4y + 8 = 0
2x + 4y + 8 = 0
4x - 2y - 8 = 0
The image of the line x + y - 2 = 0 in the y-axis is
x - y + 2 = 0
y - x + 2 = 0
x + y + 2 = 0
x + y - 2 = 0
A straight line which makes equal intercepts on positive X and Y axes and which is at a distance 1 unit from the origin intersects the straight line
1
0
A pair of perpendicular lines passes through the origin and also through the points of intersection of the curve x2 + y2 = 4 with x + y = a, where a > 0. Then a is equal to
2
3
4
5
If 3x2 - 11xy + 10y2 - 7x + 13y + k = 0 denotes a pair of straight lines, then the point of intersection of the lines is
(1, 3)
(3, 1)
(- 3, 1)
(1, - 3)
x - 2y - 5 = 0
2x - y + 5 = 0
21x - 68 = 0
23x - 68 = 0
C.
21x - 68 = 0