Home
Class 11
MATHS
x^(2)=-16y...

`x^(2)=-16y`

Text Solution

AI Generated Solution

To solve the problem involving the parabola given by the equation \( x^2 = -16y \), we will follow these steps: ### Step 1: Identify the standard form of the parabola The given equation \( x^2 = -16y \) can be compared with the standard form of a parabola that opens downwards, which is \( x^2 = -4py \). ### Step 2: Determine the value of \( p \) From the standard form \( x^2 = -4py \), we can see that: \[ ...
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTION

    NAGEEN PRAKASHAN|Exercise Exercise 11.3|20 Videos
  • CONIC SECTION

    NAGEEN PRAKASHAN|Exercise Exercise 11.4|15 Videos
  • CONIC SECTION

    NAGEEN PRAKASHAN|Exercise Exercise 11.1|15 Videos
  • COMPLEX NUMBERS AND QUADRATIC EQUATION

    NAGEEN PRAKASHAN|Exercise MISCELLANEOUS EXERCISE|20 Videos
  • INTRODUCTION OF THREE DIMENSIONAL GEOMETRY

    NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise|6 Videos

Similar Questions

Explore conceptually related problems

The focus of the parabola x ^(2) =-16 y is

The length of latus-rectum of parabola x^(2) = - 16 y is :

The latus rectum of the hyperbola 9x ^(2) -16 y^(2) + 72x - 32y-16=0 is

Area bounded by the parabola x^(2)=16 y and the line x-2y=0 is

Simplify: 25(2x+y)^(2)-16(x-y)^(2)

The equation of a directrix of the parabola x^(2)/16+y^(2)/25=1 is

The eccenttricity of the hyperbola x^(2)/16-y^(2)/25=1 is

Statement 1: Two ellipses (x^(2))/(16)+(y^(2))/(9)=1 and (x^(2))/(9)+(y^(2))/(16)=1 are congruent.Statement 2:(x^(2))/(16)+(y^(2))/(16)=1 and (x^(2))/(9)+(y^(2))/(16)=1 have same eccentricity

The foci of the hyperbola (x^(2))/(16) -(y^(2))/(9) = 1 is :