Home › AP EAPCET (Engineering) › Mathematics › Coordinate Geometry: Parabola › How many points do y = x + 1 and y² = 4x have in…
How many points do y = x + 1 and y² = 4x have in common?
A2
B0
C3
D1
Answer & Solution
Correct answer: D. 1
Substituting gives (x + 1)² = 4x, which reduces to (x - 1)² = 0, a repeated root, so the line touches the parabola at one point.
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?