Home
Class 12
MATHS
Find the equations of tangents to the pa...

Find the equations of tangents to the parabola `y^(2)=16x` which are parallel and perpendicular respectively to the line 2x-y+5 =0 also find the coordinates of their point of contact.

Text Solution

Verified by Experts

The correct Answer is:
`2x-y+2=0`, point of contact `(1,4) x-2y+16=0`, point of contact `(16,-16)`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • PARABOLA

    AAKASH SERIES|Exercise EXERCISE -3.2 III.|5 Videos
  • PARABOLA

    AAKASH SERIES|Exercise EXERCISE -3.2 I.|6 Videos
  • MEASURES OF DISPERSION (STATISTICS)

    AAKASH SERIES|Exercise Practice Exercise|54 Videos
  • PARTIAL FRACTIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|31 Videos

Similar Questions

Explore conceptually related problems

Find the equation of tagents to the parabola y(2)=16x which are parallel and perpendicular respectively to the line 2x-y+5=0, also find the co-ordinates of the points of contact also.

Find the equation of tangent to the parabola y^(2) = 16x which is a) parallel b) and perpendicular to the line 3x - 4y+5=0

Find the equation of the tangents to the hyperbola x^(2)-4y^(2)=4 which are parallel and perpendicular to the line x+2y=0

Find the equation of the tangents to the hyperbola 3x^(2)-4y^(2)=12 which are (i) Parallel and (ii) perpendicular to the line y=x-7

Find the equation of tangents to, the hyperbola x^2-4y^2 = 4 which are parallel x+2y=0.

Find the equation of the normal to the parabola y^(2)=4x which is parallel to y-2x+5=0.

Find the equations of the tangents to the hyperbola 3x^(2) - 4y^(2) = 12 which are (i) parallel and (ii) perpendicular to the line y = x - 7

Find the equations of the tangents to the hyperbola x^(2) - 4y^(2) = 4 which are (i) parallel and , (ii) perpendicular to the line x + 2y = 0

Find the equation of the normal to the parabola y^(2)=4x which is parallel to y-2x+5=0 .

Find the equations of tangents to the ellipse 2x^2+y^2=8 which are Parallel to x-2y-4=0