1
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
2
AP EAPCET 2022 - 4th July Morning Shift
+1
-0

The point of intersection of the lines $$\mathbf{r}=2 \mathbf{b}+t(6 \mathbf{c}-\mathbf{a})$$ and $$\mathbf{r}=\mathbf{a}+s(\mathbf{b}-3 \mathbf{c})$$ is

A
$$a+b+c$$
B
$$\mathrm{b}-\mathrm{c}-6 \mathrm{a}$$
C
$$2 a-b+c$$
D
$$a+2 b-6 c$$
3
AP EAPCET 2022 - 4th July Morning Shift
+1
-0

If the point $$(a, 8,-2)$$ divides the line segment joining the points $$(1,4,6)$$ and $$(5,2,10)$$ in the ratio $$m: n$$, then $$\frac{2 m}{n}-\frac{a}{3}=$$

A
$$-$$7
B
1
C
$$-$$2
D
3
4
AP EAPCET 2022 - 4th July Morning Shift
+1
-0

If $$(a, b, c)$$ are the direction ratios of a line joining the points $$(4,3,-5)$$ and $$(-2,1,-8)$$, then the point $$P(a, 3 b, 2 c)$$ lies on the plane

A
$$x+y+z=0$$
B
$$x+y-2 z=0$$
C
$$x+2 y+3 z=0$$
D
$$x-2 y+3 z=0$$
EXAM MAP
Medical
NEET