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

$$D, E, F$$ are respectively the points on the sides $$B C, C A$$ and $$A B$$ of a $$\triangle A B C$$ dividing them in the ratio $$2: 3,1: 2,3: 1$$ internally. The lines $$\mathbf{B E}$$ and $$\mathbf{C F}$$ intersect on the line $$\mathbf{A D}$$ at $$P$$. If $$\mathbf{A P}=x_1 \cdot \mathbf{A} \mathbf{B}+y_1 \cdot \mathbf{A C}$$, then $$x_1+y_1=$$

A
5/6
B
1
C
3/2
D
2
2
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
$$-4/5$$
3
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 $$P$$
4
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
EXAM MAP
Medical
NEET