Home
Class 12
MATHS
Statement I the equation of the common t...

Statement I the equation of the common tangent to the parabolas `y^2=4x` and `x^2=4y` is x+y+1=0.
Statement II Both the parabolas are reflected to each other about the line y=x.

A

Statement I is true, Statement II is true , Statement II is a correct explanation for statement I.

B

Statement I is true, Statement II is true, Statement II is not a correct explanation for Statement I.

C

Statement I is true, Statement II is false.

D

Statement I is false,Statement II is true.

Text Solution

Verified by Experts

The correct Answer is:
A
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • PARABOLA

    ARIHANT MATHS|Exercise Exercise (Subjective Type Questions)|15 Videos
  • PARABOLA

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|36 Videos
  • PARABOLA

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

The equation of the common tangent to the parabolas y^(2)=2x and x^(2)=16y is

Find the equation of the common tangent to the parabolas y^(2)=32x and x^(2)=4y

Knowledge Check

  • The common tangent of the parabolas y^(2)=4x" and "x^(2)=-8y, is

    A
    y=x+2
    B
    y=x-2
    C
    y=2x+3
    D
    none of these
  • Equation of common tangent of parabola y ^(2) = 8x and x ^(2) + y =0 is

    A
    `y = 2x +1`
    B
    `x = y +1`
    C
    `2x - y + 1 =0`
    D
    `x + 2y + 1=0`
  • Similar Questions

    Explore conceptually related problems

    The common tangent to the parabolas y^(2)=8x and x^(2)=-4y is

    The equation to the common tangent to the parabolas y^2= 2x and x^2 = 16y is

    The equation of the common tangent to the parabola y=x^(2) and y=-(x-2)^(2) is

    The equation to the line touching both the parabolas y^2 = 4x and x^2 =-32y is

    The equations of the common tangents to the parabola y=x^(2) and y=-(x-2)^(2) is/are :

    The equation to the line touching both the parabolas y^(2)=4x and x^(2)=-32y is