1
AP EAPCET 2022 - 4th July Evening Shift
MCQ (Single Correct Answer)
+1
-0

If the normal to the rectangular hyperbola $$x^2-y^2=1$$ at the point $$P(\pi / 4)$$ meets the curve again at $$Q(\theta)$$, then $$\sec ^2 \theta+\tan \theta=$$

A
43
B
57
C
3
D
1
2
AP EAPCET 2022 - 4th July Evening Shift
MCQ (Single Correct Answer)
+1
-0

If the vertices and foci of a hyperbola are respectively $$( \pm 3,0)$$ and $$( \pm 4,0)$$, then the parametric equations of that hyperbola are

A
$$x=3 \sec \theta, y=7 \tan \theta$$
B
$$x=\sqrt{3} \sec \theta, y=\sqrt{7} \tan \theta$$
C
$$x=\sqrt{3} \sec \theta, y=7 \tan \theta$$
D
$$x=3 \sec \theta, y=\sqrt{7} \tan \theta$$
3
AP EAPCET 2022 - 4th July Evening Shift
MCQ (Single Correct Answer)
+1
-0

If $$x$$-coordinate of a point $$P$$ on the line joining the points $$Q(2,2,1)$$ and $$R(5,2,-2)$$ is 4, then the $$y$$-coordinate of $$P=$$

A
$$-\frac{1}{2}$$ (x-coordinate of $$P$$)
B
$$-2$$ (z-coordinate of $$P$$)
C
2 ($$z$$-coordinate of $$P$$)
D
Sum of $$x$$ and $$z$$ coordinates of $$P$$
4
AP EAPCET 2022 - 4th July Evening Shift
MCQ (Single Correct Answer)
+1
-0

If $$(2,3, c)$$ are the direction ratios of a ray passing through the point $$C(5, q, 1)$$ and also the mid-point of the line segment joining the points $$A(p,-4,2)$$ and $$B(3,2,-4)$$, then $$c \cdot(p+7 q)=$$

A
17
B
34
C
21
D
28
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