Home
Class 12
MATHS
If x and y co-ordinates of any point P a...

If x and y co-ordinates of any point P are chosen randomly from intervals `[0, 2]` and `[0, 1]` respectively, then the probability `y<=x^2` is (A) `1/2` (B) `2/3` (C) `3/4` (D) `1/4`

A

`1/2`

B

`2/3`

C

`3/4`

D

`1/4`

Text Solution

Verified by Experts

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • MOCK TEST 3

    KVPY PREVIOUS YEAR|Exercise EXERCISE|27 Videos
  • MOCK TEST 5

    KVPY PREVIOUS YEAR|Exercise EXERCISE|24 Videos

Similar Questions

Explore conceptually related problems

In a triangle PQR , the co-ordinates of the points P and Q are ( -2,4) and ( 4,-2) respectively. If the equation of the perpendicular bisector of PR is 2x - y+2=0 , then the centre of the circumcircle of the Delta PQR is :

In a triangle PQR . the co-ordinate of the point P and Q are (-2,4) and (4,-2) respectively . If the equation of the perpendicular bisector PR is 2x-y+2=0 , then centre of the circumcircle of the DeltaPQR is

Knowledge Check

  • If p and q are chosen randomly from the set {1, 2, 3, ………, 10} with replacement, then the probability that the roots of the equation x^(2)+px+q=0 are real is

    A
    0.62
    B
    0.32
    C
    0.44
    D
    0.55
  • The co-ordinates of the orthocentre formed by the lines x =0, y=0 and x+y=1 are

    A
    (-2-1)
    B
    (-2, 1)
    C
    (0,0)
    D
    none of these
  • If the co-ordinates of a point P are x = at^(2) , y = a sqrt(1 - t^(4)) , where t is a parameter , then the locus of P is a/an

    A
    circle
    B
    parabola
    C
    ellipse
    D
    hyperbola
  • Similar Questions

    Explore conceptually related problems

    If p and q are chosen randomly from the set {1,2,3,4,5,6,7,8,9,10} with replacement, determine the probability that the roots of the equation x^(2)+px+q=0 are real.

    The co-ordinates of the point of reflection of the origin (0,0) in the line 4x-2y-5=0 is

    Two integers x and y are chosen with replacement out of the set {0, 1, 2, 3, ... 10). Then the probability that |x - y । > 5 is:

    If (x, y) are the co-ordinates of a point in the plane, then then |(3, 4, 2),(5,8, 2),(x,y,2)|=0 represent

    A and B are the points (2, 0) and (0, 2) respectively. The coordinates of the point P on the line 2x+3y+1=0 are