AP EAPCET 2021 - 19th August Evening Shift | Three Dimensional Geometry Question 95 | Mathematics

$$A(-1,2-3), B(5,0,-6)$$ and $$C(0,4,-1)$$ are the vertices of a $$\triangle A B C$$. The direction cosines of internal bisector of $$\angle B A C$$ are

$$\frac{25}{\sqrt{714}}, \frac{8}{\sqrt{714}}, \frac{-5}{\sqrt{714}}$$

$$\frac{25}{\sqrt{714}}, \frac{8}{\sqrt{714}}, \frac{5}{\sqrt{714}}$$

$$\frac{5}{\sqrt{74}}, \frac{6}{\sqrt{74}}, \frac{8}{\sqrt{74}}$$

$$\frac{-5}{\sqrt{74}}, \frac{6}{\sqrt{74}}, \frac{-8}{\sqrt{74}}$$

AP EAPCET 2021 - 19th August Evening Shift

MCQ (Single Correct Answer)

-0

If the projections of the line segment AB on xy, yz and zx planes are $$\sqrt{15},\sqrt{46},7$$ respectively, then the projection of AB on Y-axis is

AP EAPCET 2021 - 19th August Evening Shift

MCQ (Single Correct Answer)

-0

Find the equation of the plane passing through the point $$(2,1,3)$$ and perpendicular to the planes $$x-2 y+2 z+3=0$$ and $$3 x-2 y+4 z-4=0$$.

$$2 x-y-2 z+3=0$$

$$x-2 y+2 z-3=0$$

$$2 x-y+2 z-3=0$$

$$2 x+y-2 z-3=0$$

AP EAPCET 2021 - 19th August Morning Shift

MCQ (Single Correct Answer)

-0

The ratio in which the YZ-plane divides the line joining (2, 4, 5) and (3, 5, $$-$$4) is

2 : 3 internally

3 : 2 internally

3 : 2 externally

2 : 3 externally

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