1
MHT CET 2020 16th October Evening Shift
MCQ (Single Correct Answer)
+2
-0

If the equation $$a x^2+2 h x y+b y^2+2 g x+2 f y=0$$ has one line as the bisector of the angle between co-ordinate axes, then

A
$$(a+b)^2=4\left(h^2+f^2\right)$$
B
$$(a+b)^2=4\left(h^2+g^2+f^2\right)$$
C
$$(a+b)^2=4 h^2$$
D
$$(a+b)^2=4\left(h^2+g^2\right)$$
2
MHT CET 2020 16th October Evening Shift
MCQ (Single Correct Answer)
+2
-0

$$\left[\sin \left(\tan ^{-1} \frac{3}{4}\right)\right]^2+\left[\sin \left(\tan ^{-1} \frac{4}{3}\right)\right]^2=$$

A
0
B
1
C
5
D
$$-$$1
3
MHT CET 2020 16th October Evening Shift
MCQ (Single Correct Answer)
+2
-0

If the plane $$2 x+3 y+5 z=1$$ intersects the co-ordinate axes at the points $$A, B, C$$, then the centroid of $$\triangle A B C$$ is

A
$$(2,3,5)$$
B
$$\left(\frac{1}{6}, \frac{1}{9}, \frac{1}{15}\right)$$
C
$$\left(\frac{3}{2}, 1, \frac{3}{5}\right)$$
D
$$\left(\frac{1}{2}, \frac{1}{3}, \frac{1}{5}\right)$$
4
MHT CET 2020 16th October Evening Shift
MCQ (Single Correct Answer)
+2
-0

The eccentricity of the ellipse $$y^2+4 x^2-12 x+6 y+14=0$$ is

A
$$\frac{1}{\sqrt{2}}$$
B
$$\frac{1}{2}$$
C
$$\frac{\sqrt{3}}{2}$$
D
$$\frac{1}{\sqrt{3}}$$
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