1
MHT CET 2021 21th September Evening Shift
+2
-0

If $$\mathrm{(m+3 n)(3 m+n)=4 h^2}$$, then the acute angle between the lines represented by $$\mathrm{m x^2+2 h x y+n y^2=0}$$ is

A
$$\frac{\pi^{\mathrm{c}}}{3}$$
B
$$\frac{\pi^{\mathrm{c}}}{6}$$
C
$$\tan ^{-1}\left(\frac{3}{2}\right)$$
D
$$\tan ^{-1}\left(\frac{1}{2}\right)$$
2
MHT CET 2021 21th September Evening Shift
+2
-0

If $$\mathrm{p}$$ is the length of the perpendicular from origin to the line whose intercepts on the axes are a and $$b$$, then $$\frac{1}{a^2}+\frac{1}{b^2}=$$

A
$$\mathrm{p}^2$$
B
$$\frac{1}{2 \mathrm{p}^2}$$
C
$$2 p^2$$
D
$$\frac{1}{\mathrm{p}^2}$$
3
MHT CET 2021 21th September Evening Shift
+2
-0

If the lines $$x^2-4xy+y^2=0$$ make angles $$\alpha$$ and $$\beta$$ with positive direction X-axis, then $$\cot^2\alpha+\cot^2\beta=$$

A
14
B
16
C
18
D
20
4
MHT CET 2021 21th September Morning Shift
+2
-0

If the two lines given by $$a x^2+2 h x y+b y^2=0$$ make inclinations $$\propto$$ and $$\beta$$, then $$\tan (\alpha+\beta)=$$

A
$$\frac{h}{a+b}$$
B
$$\frac{2 h}{a+b}$$
C
$$\frac{\mathrm{h}}{\mathrm{a}-\mathrm{b}}$$
D
$$\frac{2 h}{a-b}$$
EXAM MAP
Medical
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