Home
Class 12
MATHS
The equation of the line touching both t...

The equation of the line touching both the parabolas `y^(2)=4xandx^(2)=-32y` is `ax+by+c=0`. Then the value of `a+b+c` is ___________ .

A

`x+2y+4=0`

B

`x-2y+4=0`

C

`x+y-4=0`

D

`x-y+4=0`

Text Solution

Verified by Experts

The correct Answer is:
B
`y=mx+(1)/(m)" (1)"`
`y=mx+8m^(2)" (2)"`
`(1)/(m)=8m^(2)" "rArr" "m=(1)/(2)`
`"Put "m=(1)/(2)" in "(1)rArr y=(1)/(2)x+2`
Promotional Banner

Topper's Solved these Questions

  • MOCK TEST 9

    VMC MODULES ENGLISH|Exercise MATHEMATICS (SECTION 2)|5 Videos

  • MOCK TEST 8

    VMC MODULES ENGLISH|Exercise MATHMATICS (SECTION 2)|5 Videos

  • PERMUTATION & COMBINATION

    VMC MODULES ENGLISH|Exercise JEE ARCHIVE|50 Videos

Similar Questions

Explore conceptually related problems

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

The slope of the line touching both the parabolas y^2=4x and x^2=−32y is (a) 1/2 (b) 3/2 (c) 1/8 (d) 2/3

If the line y=mx+c touches the parabola y^(2)=4a(x+a) , then

If the line y=mx+c touches the parabola y^(2)=4a(x+a) , then

The line among the following that touches the parabola y^(2)=4ax is

Equation of line touching both parabolas y^(2)=4x and x^(2) = -32y is a) x+2y + 4 =0 b) 2x +y4 =0 c) x-2y-4 =0 d) x-2y+4 =0

Find the equation of tangent to the parabola y^(2)=8ax at (2a , 4a)

The line 4x+6y+9 =0 touches the parabola y^(2)=4ax at the point

Find the equation of the straight lines touching both x^2+y^2=2a^2 and y^2=8a xdot

Find the equation of the straight lines touching both x^2+y^2=2a^2 and y^2=8a xdot