Question
The angle between the tangents at the extremities of any focal chord of a parabola $y^{2}=4 a x$ is(a) $\frac{\pi}{2}$(b) $\frac{\pi}{3}$(c) $\frac{\pi}{4}$(d) $\frac{\pi}{6}$
Step 1
The endpoints of a focal chord of this parabola can be represented as $(a t_{1}^{2}, 2 a t_{1})$ and $(a t_{2}^{2}, 2 a t_{2})$. Show more…
Show all steps
Your feedback will help us improve your experience
Goutam Chand and 63 other Precalculus educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
The angle between the two tangents to the curve $\mathrm{y}=\frac{x}{4}$ at the points $\mathrm{x}=2$ and $\mathrm{x}=-2$ is (a) $\frac{\pi}{2}$ (b) $\pi$ (c) $\frac{\pi}{4}$ (d) $\frac{3 \pi}{4}$
A double ordinate of the parabola $y^{2}=4 a x$ is of length 8 a. Then the angle between the lines from the vertex to its ends is (a) $\frac{\pi}{3}$ (b) $\frac{\pi}{2}$ (c) $\frac{\pi}{6}$ (d) $\pi$
The angle subtended by the common chord of the circles $x^{2}+y^{2}-4 x-4 y=0$ and $x^{2}+y^{2}=16$ at the origin is (a) $\frac{\pi}{2}$ (b) $\frac{\pi}{3}$ (c) $\frac{\pi}{4}$ (d) $\frac{\pi}{6}$
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD