Home
Class 12
MATHS
The set of points on the axis of the pa...

The set of points on the axis of the parabola `(y-2)^2=4(x-1/2)` from which three distinct normals can be drawn to the parabola are

A

(3,2)

B

(1,2)

C

(4,2)

D

(5,2)

Text Solution

Verified by Experts

The correct Answer is:
A, C, D
Promotional Banner

Topper's Solved these Questions

  • PARABOLA

    ARIHANT MATHS ENGLISH|Exercise Exercise (Passage Based Questions)|24 Videos
  • PARABOLA

    ARIHANT MATHS ENGLISH|Exercise Exercise (Single Integer Answer Type Questions)|9 Videos
  • PARABOLA

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

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

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

Similar Questions

Explore conceptually related problems

The set of points on the axis of the parabola (x-1)^(2)=8(y+2) from where three distinct normals can be drawn to the parabola is the set (h,k) of points satisfying

The set of points on the axis of the parabola (x-1)^2=8(y+2) from where three distinct normals can be drawn to the parabola is the set (h ,k) of points satisfying (a)h >2 (b) h >1 (c)k >2 (d) none of these

The set of points on the axis of the parabola y^2 =4ax , from which three distinct normals can be drawn to theparabola y^2 = 4ax , is

Find the point on the axis of the parabola 3y^2+4y-6x+8 =0 from where three distinct normals can be drawn.

If (h ,k) is a point on the axis of the parabola 2(x-1)^2+2(y-1)^2=(x+y+2)^2 from where three distinct normals can be drawn, then prove that h > 2.

If (h,k) is a point on the axis of the parabola 2{(x-1)^2 + (y-1)^2} = (x+y)^2 from where three distinct normal can be drawn, then the least integral value of h is :

The set of points on the axis of the parabola y^2=4x+8 from which the three normals to the parabola are all real and different is (a) {(k ,0)"|"klt=-2} (b) {(k ,0)"|"kgt=-2} (c) {(0, k)"|"k gt=-2} (d) none of these

The set of points on the axis of the parabola y^2-4x-2y+5=0 from which all the three normals to the parabola are real , is

The set of points on the axis of the parabola y^2-4x-2y+5=0 find the slope of normal to the curve at (0,0)

Column I, Column II Points from which perpendicular tangents can be drawn to the parabola y^2=4x , p. (-1,2) Points from which only one normal can be drawn to the parabola y^2=4x , q. (3, 2) Point at which chord x-y-1=0 of the parabola y^2=4x is bisected., r. (-1,-5) Points from which tangents cannot be drawn to the parabola y^2=4x , s. (5,-2)