Home
Class 12
MATHS
The equation of the common tangent touch...

The equation of the common tangent touching the circle `(x-3)^2+y^2=9` and the parabola `y^2=4x` above the x-axis is `sqrt(3)y=3x+1` (b) `sqrt(3)y=-(x+3)` `sqrt(2)y=x+3` (d) `sqrt(3)y=-(3x-1)`

A

`sqrt(3)y = 3x+1`

B

`sqrt(3)y = -(x+3)`

C

`sqrt(3)y = x+3`

D

`sqrt(3)y = -(3x+1)`

Text Solution

Verified by Experts

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

Topper's Solved these Questions

  • THE PARABOLA

    ML KHANNA|Exercise Problem Set (2) (TRUE AND FALSE)|1 Videos

  • THE PARABOLA

    ML KHANNA|Exercise Problem Set (2) (FILL IN THE BLANKS)|5 Videos

  • THE PARABOLA

    ML KHANNA|Exercise Problem Set (1) (FILL IN THE BLANKS)|2 Videos

  • THE HYPERBOLA

    ML KHANNA|Exercise SELF ASSESSMENT TEST |4 Videos

  • THEORY OF QUADRATIC EQUATIONS

    ML KHANNA|Exercise Self Assessment Test|27 Videos

Similar Questions

Explore conceptually related problems

The equation of the common tangent touching the circle (x-3)^(2)+y^(2)=0 and the parabola y^(2)=4x above he x-axis is

The equation of the common tangent touching the parabola y^2 = 4x and the circle ( x - 3)^2 +y^2 = 9 above the x-axis is

Knowledge Check

  • The equation of the common tangent touching the circle (x-3)^(2)+y^(2)=9 and the parabola y^(2)=4x below the x-axis is

    A
    `sqrt3y=3x+1`
    B
    `sqrt3y=-(x+3)`
    C
    `sqrt3y=x+3`
    D
    `sqrt3y=-(3x+1)`

  • The equation of the common tangents touching the circle (x - 3)^(2) + y^(2) = 9 and the parabola y^(2) = 4x above X-axis, is

    A
    `x+y=2,x-y=1`
    B
    `x+y=3,x-y=2`
    C
    `x+y=1,4x-2y=1`
    D
    `x+2y=1,x+y-3`

  • The equation of the common tangents to the circle (x-3)^(2)+y^(2)=9 and the parabola y^(2)=4x the x-axis, is

    A
    `sqrt3y=3x+1`
    B
    `sqrt3y=-(x+1)`
    C
    `sqrt3y=(x+1)`
    D
    `sqrt3y=-(3x+1)`

    • Similar Questions

    Explore conceptually related problems

    The equation of the tangents to the ellipse 4x^2 + 3y^2 = 5 , which are inclined at 60^0 to the X-axis are : (A) y = x/sqrt(3) +- sqrt(65/12) (B) y = sqrt(3) +- sqrt(65/12) (C) y = sqrt(3)x +- sqrt(12/65) (D) none of these

    The equation of the common tangent to parabola y^(2)=4x and x^(=)4y is x+y+(k)/(sqrt(3))=0, then k is equal to

    Evaluate : ( sqrt(2)x + sqrt(3)y ) ( sqrt(2)x + sqrt(3)y )

    The area of the circle x^2+y^2=16 exterior to the parabola y^2=6x is (A) 4/3(4pi-sqrt(3)) (B) 4/3(4pi+sqrt(3)) (C) 4/3(8pi-sqrt(3)) (D) 4/3(8pi+sqrt(3))

    The equation of the common tangent with positive slope to the parabola y^(2)=8sqrt(3)x and hyperbola 4x^(2)-y^(2)=4 is

    Home
    Profile