Home
Class 12
MATHS
Let y^2=4ax be a parabola and x^2+y^2+2b...

Let `y^2=4ax` be a parabola and `x^2+y^2+2bx=0` be a circle. If parabola and circle touch each externally then:

A

`agt0,blt0`

B

`agt0,bgt0`

C

`alt0,bgt0`

D

`alt0,blt0`

Text Solution

Verified by Experts

The correct Answer is:
B, D
Promotional Banner

Topper's Solved these Questions

  • PARABOLA

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|23 Videos
  • PARABOLA

    ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|10 Videos
  • PARABOLA

    ARIHANT MATHS|Exercise Exercise (Single Option Correct Type Questions)|30 Videos
  • PAIR OF STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|2 Videos
  • PERMUTATIONS AND COMBINATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|28 Videos

Similar Questions

Explore conceptually related problems

If a tangent to the parabola y^2 = 4ax meets the axis of the parabola in T and the tangent at the vertex A in Y, and the rectangle TAYG is completed, show that the locus of G is y^2 + ax = 0.

Consider a parabola x^2-4xy+4y^2-32x+4y+16=0 . The focus of the parabola (P) is

Let A and B be two distinct points on the parabola y^2=4x . If the axis of the parabola touches a circle of radius r having AB as its diameter, then find the slope of the line joining A and B .

The directrix of the parabola y^2=4ax is :

The equation ax^2+4xy+y^2+ax+3y+2=0 represents a parabola. Find the value of a .

The focus of the parabola y^2= 4ax is :

The equation of four circles are (x+-a)^2+(y+-a)^2=a^2 . The radius of a circle touching all the four circles externally is

From a point A, common tangents are drawn to the circle x^2+y^2=a^2/2 and parabola y^2= 4x . Find the area of the quadrilateral formed by the common tangents, the chord of contact of the circle and the chord of contact of the parabola.

The vertex of the parabola y^2+6x-2y+13=0 is