1
VITEEE 2023
MCQ (Single Correct Answer)
+1
-0

If the 4th term in the expansion of $$\left(p x+\frac{1}{x}\right)^n, n \in N$$ is $$\frac{5}{2}$$ and three normals to the parabola $$y^2=x$$ are drawn through a point $$(q, 0)$$, then

A
$$q=p$$
B
$$q>p$$
C
$$q< p$$
D
$$p q=1$$
2
VITEEE 2022
MCQ (Single Correct Answer)
+1
-0

If the tangent at $$P$$ on $$y^2=4 a x$$ meets the tangent at the vertex in $$Q$$ and $$S$$ is the focus of the parabola, then $$\angle S Q P$$ is equal to

A
$$\frac{\pi}{3}$$
B
$$\frac{\pi}{4}$$
C
$$\frac{\pi}{2}$$
D
$$\frac{2 \pi}{3}$$
3
VITEEE 2021
MCQ (Single Correct Answer)
+1
-0

The locus of a point which moves in a plane such that its distance from a fixed point in the plane is always equal to its distance from a fixed straight line in the same plane represents

A
a circle
B
a parabola
C
a hyperbola
D
an ellipse
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