Angle Between Two Lines
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Co-Ordinate system

88389 The measure of the angle between the lines \(x^{2}+2 x y \operatorname{cosec} \alpha+y^{2}=0\) is

1 \(\pi-\alpha\)
2 \(\frac{\pi}{2}-\alpha\)
3 \(\alpha\)
4 \(\frac{\pi}{2}+\alpha\)
nda
Co-Ordinate system

88390 If the angle between the lines given by the equation \(x^{2}-3 x y+\lambda y^{2}+3 x-5 y+2=0, \lambda \geq 0\) is
\(\boldsymbol{\operatorname { t a n }}^{-1}\left(\frac{1}{3}\right)\), then \(\lambda\)

1 \(\frac{2}{3}, 40\)
2 10
3 \(1, \frac{2}{5}\)
4 2
MHT CET-2020
Co-Ordinate system

88391 If one of the lines given by \(k x^{2}+x y-y^{2}=0\) bisects are the angle between the coordinate axes, then values of \(k\) are

1 1,2
2 0,2
3 1,3
4 \(-2,2\)
MHT CET-2020
Co-Ordinate system

88392 If the acute angle between the lines \(x^{2}-4 x y+y^{2}=0\) is \(\tan ^{-1}(k)\), then \(k=\)

1 \(\sqrt{3}\)
2 \(\frac{1}{3}\)
3 \(\frac{1}{\sqrt{3}}\)
4 \(\frac{1}{6}\)
MHT CET-2020
Co-Ordinate system

88393 The angle between the lines \(y^{2} \sin ^{2} \theta-x y \sin ^{2} \theta+x^{2}\left(\cos ^{2} \theta-1\right)=0\) is

1 \(\frac{\pi}{6}\)
2 \(\frac{\pi}{4}\)
3 \(\frac{\pi}{2}\)
4 \(\frac{\pi}{3}\)
MHT CET-2020
NEET DIGITAL LIBRARY
Co-Ordinate system

88389 The measure of the angle between the lines \(x^{2}+2 x y \operatorname{cosec} \alpha+y^{2}=0\) is

1 \(\pi-\alpha\)
2 \(\frac{\pi}{2}-\alpha\)
3 \(\alpha\)
4 \(\frac{\pi}{2}+\alpha\)
nda
Co-Ordinate system

88390 If the angle between the lines given by the equation \(x^{2}-3 x y+\lambda y^{2}+3 x-5 y+2=0, \lambda \geq 0\) is
\(\boldsymbol{\operatorname { t a n }}^{-1}\left(\frac{1}{3}\right)\), then \(\lambda\)

1 \(\frac{2}{3}, 40\)
2 10
3 \(1, \frac{2}{5}\)
4 2
MHT CET-2020
Co-Ordinate system

88391 If one of the lines given by \(k x^{2}+x y-y^{2}=0\) bisects are the angle between the coordinate axes, then values of \(k\) are

1 1,2
2 0,2
3 1,3
4 \(-2,2\)
MHT CET-2020
Co-Ordinate system

88392 If the acute angle between the lines \(x^{2}-4 x y+y^{2}=0\) is \(\tan ^{-1}(k)\), then \(k=\)

1 \(\sqrt{3}\)
2 \(\frac{1}{3}\)
3 \(\frac{1}{\sqrt{3}}\)
4 \(\frac{1}{6}\)
MHT CET-2020
Co-Ordinate system

88393 The angle between the lines \(y^{2} \sin ^{2} \theta-x y \sin ^{2} \theta+x^{2}\left(\cos ^{2} \theta-1\right)=0\) is

1 \(\frac{\pi}{6}\)
2 \(\frac{\pi}{4}\)
3 \(\frac{\pi}{2}\)
4 \(\frac{\pi}{3}\)
MHT CET-2020
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Co-Ordinate system

88389 The measure of the angle between the lines \(x^{2}+2 x y \operatorname{cosec} \alpha+y^{2}=0\) is

1 \(\pi-\alpha\)
2 \(\frac{\pi}{2}-\alpha\)
3 \(\alpha\)
4 \(\frac{\pi}{2}+\alpha\)
nda
Co-Ordinate system

88390 If the angle between the lines given by the equation \(x^{2}-3 x y+\lambda y^{2}+3 x-5 y+2=0, \lambda \geq 0\) is
\(\boldsymbol{\operatorname { t a n }}^{-1}\left(\frac{1}{3}\right)\), then \(\lambda\)

1 \(\frac{2}{3}, 40\)
2 10
3 \(1, \frac{2}{5}\)
4 2
MHT CET-2020
Co-Ordinate system

88391 If one of the lines given by \(k x^{2}+x y-y^{2}=0\) bisects are the angle between the coordinate axes, then values of \(k\) are

1 1,2
2 0,2
3 1,3
4 \(-2,2\)
MHT CET-2020
Co-Ordinate system

88392 If the acute angle between the lines \(x^{2}-4 x y+y^{2}=0\) is \(\tan ^{-1}(k)\), then \(k=\)

1 \(\sqrt{3}\)
2 \(\frac{1}{3}\)
3 \(\frac{1}{\sqrt{3}}\)
4 \(\frac{1}{6}\)
MHT CET-2020
Co-Ordinate system

88393 The angle between the lines \(y^{2} \sin ^{2} \theta-x y \sin ^{2} \theta+x^{2}\left(\cos ^{2} \theta-1\right)=0\) is

1 \(\frac{\pi}{6}\)
2 \(\frac{\pi}{4}\)
3 \(\frac{\pi}{2}\)
4 \(\frac{\pi}{3}\)
MHT CET-2020
For More Updates join with Us
Co-Ordinate system

88389 The measure of the angle between the lines \(x^{2}+2 x y \operatorname{cosec} \alpha+y^{2}=0\) is

1 \(\pi-\alpha\)
2 \(\frac{\pi}{2}-\alpha\)
3 \(\alpha\)
4 \(\frac{\pi}{2}+\alpha\)
nda
Co-Ordinate system

88390 If the angle between the lines given by the equation \(x^{2}-3 x y+\lambda y^{2}+3 x-5 y+2=0, \lambda \geq 0\) is
\(\boldsymbol{\operatorname { t a n }}^{-1}\left(\frac{1}{3}\right)\), then \(\lambda\)

1 \(\frac{2}{3}, 40\)
2 10
3 \(1, \frac{2}{5}\)
4 2
MHT CET-2020
Co-Ordinate system

88391 If one of the lines given by \(k x^{2}+x y-y^{2}=0\) bisects are the angle between the coordinate axes, then values of \(k\) are

1 1,2
2 0,2
3 1,3
4 \(-2,2\)
MHT CET-2020
Co-Ordinate system

88392 If the acute angle between the lines \(x^{2}-4 x y+y^{2}=0\) is \(\tan ^{-1}(k)\), then \(k=\)

1 \(\sqrt{3}\)
2 \(\frac{1}{3}\)
3 \(\frac{1}{\sqrt{3}}\)
4 \(\frac{1}{6}\)
MHT CET-2020
Co-Ordinate system

88393 The angle between the lines \(y^{2} \sin ^{2} \theta-x y \sin ^{2} \theta+x^{2}\left(\cos ^{2} \theta-1\right)=0\) is

1 \(\frac{\pi}{6}\)
2 \(\frac{\pi}{4}\)
3 \(\frac{\pi}{2}\)
4 \(\frac{\pi}{3}\)
MHT CET-2020
NEET DIGITAL LIBRARY
Co-Ordinate system

88389 The measure of the angle between the lines \(x^{2}+2 x y \operatorname{cosec} \alpha+y^{2}=0\) is

1 \(\pi-\alpha\)
2 \(\frac{\pi}{2}-\alpha\)
3 \(\alpha\)
4 \(\frac{\pi}{2}+\alpha\)
nda
Co-Ordinate system

88390 If the angle between the lines given by the equation \(x^{2}-3 x y+\lambda y^{2}+3 x-5 y+2=0, \lambda \geq 0\) is
\(\boldsymbol{\operatorname { t a n }}^{-1}\left(\frac{1}{3}\right)\), then \(\lambda\)

1 \(\frac{2}{3}, 40\)
2 10
3 \(1, \frac{2}{5}\)
4 2
MHT CET-2020
Co-Ordinate system

88391 If one of the lines given by \(k x^{2}+x y-y^{2}=0\) bisects are the angle between the coordinate axes, then values of \(k\) are

1 1,2
2 0,2
3 1,3
4 \(-2,2\)
MHT CET-2020
Co-Ordinate system

88392 If the acute angle between the lines \(x^{2}-4 x y+y^{2}=0\) is \(\tan ^{-1}(k)\), then \(k=\)

1 \(\sqrt{3}\)
2 \(\frac{1}{3}\)
3 \(\frac{1}{\sqrt{3}}\)
4 \(\frac{1}{6}\)
MHT CET-2020
Co-Ordinate system

88393 The angle between the lines \(y^{2} \sin ^{2} \theta-x y \sin ^{2} \theta+x^{2}\left(\cos ^{2} \theta-1\right)=0\) is

1 \(\frac{\pi}{6}\)
2 \(\frac{\pi}{4}\)
3 \(\frac{\pi}{2}\)
4 \(\frac{\pi}{3}\)
MHT CET-2020