1
TG EAPCET 2025 (Online) 3rd May Evening Shift
MCQ (Single Correct Answer)
+1
-0

The number of normals that can be drawn through the point $(2,0)$ to the parabola $y^2=7 x$ is

A

0

B

1

C

2

D

3

2
TG EAPCET 2025 (Online) 3rd May Evening Shift
MCQ (Single Correct Answer)
+1
-0

If $m_1$ and $m_2$ are the slopes of the tangents drawn from the point $(1,4)$ to the parabola $y^2=11 x$, then $2\left(m_1^2+m_2^2\right)=$

A

24

B

22

C

21

D

18

3
TG EAPCET 2025 (Online) 3rd May Morning Shift
MCQ (Single Correct Answer)
+1
-0

If the normals drawn at the points $P\left(\frac{3}{4}, \frac{3}{2}\right)$ and $Q(3,3)$ on the parabola $y^2=3 x$ intersect again on $y^2=3 x$ at $R$, then $R=$

A

$(12,6)$

B

$\left(\frac{27}{4},-\frac{9}{2}\right)$

C

$\left(\frac{3}{16}, \frac{3}{4}\right)$

D

$\left(\frac{1}{12},-\frac{1}{2}\right)$

4
TG EAPCET 2025 (Online) 3rd May Morning Shift
MCQ (Single Correct Answer)
+1
-0

If $\theta$ is the acute angle between the tangents drawn from the point $(1,5)$ to the parabola $y^2=9 x$, then

A

$\frac{\pi}{6}<\theta<\frac{\pi}{4}$

B

$\frac{\pi}{3}<\theta<\frac{\pi}{2}$

C

$0<\theta<\frac{\pi}{6}$

D

$\frac{\pi}{4}<\theta<\frac{\pi}{3}$

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