Home › AP EAPCET (Engineering) › Mathematics › Coordinate Geometry: Parabola › A parabola symmetric about the y-axis with verte…
A parabola symmetric about the y-axis with vertex at origin passes through (2, -3). Its equation is:
A4x² = -3y
Bx² = -12y
C3x² = 4y
D3x² = -4y
Answer & Solution
Correct answer: D. 3x² = -4y
It opens downward as x² = -4ay; substituting (2, -3) gives 4 = 12a so a = 1/3, hence 3x² = -4y.
Related questions
A point of y² = 4x is 5 units from the focus. What is its x-coordinate?A point moves so that its distance from (3, 0) equals its distance from x = -3. Find its lA lamp is placed at the focus of a parabolic reflector. The reflected beam isWhich device uses a parabolic reflector to send out a parallel beam?In the pin and string construction, the free edge of the set square slides along theHow far is the focus of y² = 24x from its directrix?What is the tangent at the vertex of y² = 4ax?The line y = x cuts a chord on y² = 4x. What is the chord length?