1
AP EAPCET 2022 - 4th July Evening Shift
+1
-0

If the equation of the plane passing through the point $$A(-2,1,3)$$ and perpendicular to the vector $$3 \hat{i}+\hat{j}+5 \hat{k}$$ is $$a x+b y+c z+d=0$$, then $$\frac{a+b}{c+d}=$$

A
4/5
B
2/3
C
1
D
$$-4/5$$
2
AP EAPCET 2022 - 4th July Evening Shift
+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 $$P$$
3
AP EAPCET 2022 - 4th July Evening Shift
+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
4
AP EAPCET 2022 - 4th July Evening Shift
+1
-0

If the equation of the plane which is at a distance of $$1 / 3$$ units from the origin and perpendicular to a line whose directional ratios are $$(1,2,2)$$ is $$x+p y+q z+r=0$$, then $$\sqrt{p^2+q^2+r^2}=$$

A
3
B
$$\sqrt5$$
C
$$\sqrt{13}$$
D
2
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