Home
Class 12
MATHS
The parabola y=x^2+p x+q cuts the straig...

The parabola `y=x^2+p x+q` cuts the straight line `y=2x-3` at a point with abscissa 1. Then the value of `pa n dq` for which the distance between the vertex of the parabola and the x-axis is the minimum is (a)`p=-1,q=-1` (b) `p=-2,q=0` `(c) p=0,q=-2` (d) `p=3/2,q=-1/2`

Text Solution

Verified by Experts

The correct Answer is:
B, D
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|7 Videos

  • DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|8 Videos

  • DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS

    ARIHANT MATHS|Exercise Exercise (Single Option Correct Type Questions)|33 Videos

  • DIFFERENTIATION

    ARIHANT MATHS|Exercise Exercise For Session 10|4 Videos

  • ELLIPSE

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|26 Videos

Similar Questions

Explore conceptually related problems

Find the values of y for which the distance between the points P (2,-3) and Q (10, y) is 10 units.

Find the value of y for which the distance between the points P (2, -3) and Q (10, y) is 10 units.

Find the values of y for which the distance between the points P (2, - 3) and Q (10, y) is 10 units.

If p and q are the roots of the equation x^2-p x+q=0 , then (a) p=1,\ q=-2 (b) p=1,\ q=0 (c) p=-2,\ q=0 (d) p=-2,\ q=1

The ordinates of points P and Q on the parabola y^2 = 12x are in the ratio 1 : 2. Find the locus of the point of intersection of the normals to the parabola at P and Q.

If the line y-sqrt3x+3=0 cuts the parabola y^2=x+2 at P and Q then AP.AQ is equal to

A parabola (P) touches the conic x^2+xy+y^2-2x-2y+1=0 at the points when it is cut by the line x+y+1=0. If (a,b) is the vertex of the parabola (P), then the value of |a-b| is

If P=(1,1),Q=(3,2) and R is a point on x-axis then the value of PR+RQ will be minimum at

A point P lies on x-axis and another point Q lies on y-axis. :- Write the abscissa of point Q.

Consider the circle x^2 + y^2 = 9 and the parabola y^2 = 8x . They intersect at P and Q in first and fourth quadrant respectively. Tangents to the circle at P and Q intersect the x-axis at R and tangents at the parabola at P and Q intersect the x-axis at S. The radius of the circumcircle of the triangle PRS is-

Home
Profile