Locus and its Equation
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Co-Ordinate system

88423 The joint equation of a pair of lines passing through the point of intersection of line
\(2 x^{2}-x y-15 y^{2}-7 x+32 y-9=0\) and parallel to co-ordinate axes is

1 \(x y+x+2 y-2=0\)
2 \(x y+x+2 y+2=0\)
3 \(x y-x-2 y-2=0\)
4 \(x y-x-2 y+2=0\)
MHT CET-2020
Co-Ordinate system

88424 If one of the lines given by the equation \(x^{2}+k x y+2 y^{2}=0\) is \(x+2 y=0\), then \(k=\)

1 3
2 1
3 2
4 4
MHT CET-2020
Co-Ordinate system

88425 The joint equation of two lines through the origin, each of which making an angle of \(30^{\circ}\) with line \(x+y=0\) is

1 \(x^{2}+4 x y+y^{2}=0\)
2 \(x^{2}-4 x y+y^{2}=0\)
3 \(x^{2}-4 x y-y^{2}=0\)
4 \(x^{2}+4 x y-y^{2}=0\)
MHT CET-2020
Co-Ordinate system

88428 If a chord of the circle \(x^{2}+y^{2}=8\) makes equal intercepts of length a on the coordinate axes, then

1 \(\mid\) a \(\mid\lt 8\)
2 \(|\mathrm{a}|\lt 4 \sqrt{2}\)
3 \(|\mathrm{a}|\lt 4\)
4 \(|\mathrm{a}|>4\)
BITSAT-2020
NEET DIGITAL LIBRARY
Co-Ordinate system

88423 The joint equation of a pair of lines passing through the point of intersection of line
\(2 x^{2}-x y-15 y^{2}-7 x+32 y-9=0\) and parallel to co-ordinate axes is

1 \(x y+x+2 y-2=0\)
2 \(x y+x+2 y+2=0\)
3 \(x y-x-2 y-2=0\)
4 \(x y-x-2 y+2=0\)
MHT CET-2020
Co-Ordinate system

88424 If one of the lines given by the equation \(x^{2}+k x y+2 y^{2}=0\) is \(x+2 y=0\), then \(k=\)

1 3
2 1
3 2
4 4
MHT CET-2020
Co-Ordinate system

88425 The joint equation of two lines through the origin, each of which making an angle of \(30^{\circ}\) with line \(x+y=0\) is

1 \(x^{2}+4 x y+y^{2}=0\)
2 \(x^{2}-4 x y+y^{2}=0\)
3 \(x^{2}-4 x y-y^{2}=0\)
4 \(x^{2}+4 x y-y^{2}=0\)
MHT CET-2020
Co-Ordinate system

88428 If a chord of the circle \(x^{2}+y^{2}=8\) makes equal intercepts of length a on the coordinate axes, then

1 \(\mid\) a \(\mid\lt 8\)
2 \(|\mathrm{a}|\lt 4 \sqrt{2}\)
3 \(|\mathrm{a}|\lt 4\)
4 \(|\mathrm{a}|>4\)
BITSAT-2020
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Co-Ordinate system

88423 The joint equation of a pair of lines passing through the point of intersection of line
\(2 x^{2}-x y-15 y^{2}-7 x+32 y-9=0\) and parallel to co-ordinate axes is

1 \(x y+x+2 y-2=0\)
2 \(x y+x+2 y+2=0\)
3 \(x y-x-2 y-2=0\)
4 \(x y-x-2 y+2=0\)
MHT CET-2020
Co-Ordinate system

88424 If one of the lines given by the equation \(x^{2}+k x y+2 y^{2}=0\) is \(x+2 y=0\), then \(k=\)

1 3
2 1
3 2
4 4
MHT CET-2020
Co-Ordinate system

88425 The joint equation of two lines through the origin, each of which making an angle of \(30^{\circ}\) with line \(x+y=0\) is

1 \(x^{2}+4 x y+y^{2}=0\)
2 \(x^{2}-4 x y+y^{2}=0\)
3 \(x^{2}-4 x y-y^{2}=0\)
4 \(x^{2}+4 x y-y^{2}=0\)
MHT CET-2020
Co-Ordinate system

88428 If a chord of the circle \(x^{2}+y^{2}=8\) makes equal intercepts of length a on the coordinate axes, then

1 \(\mid\) a \(\mid\lt 8\)
2 \(|\mathrm{a}|\lt 4 \sqrt{2}\)
3 \(|\mathrm{a}|\lt 4\)
4 \(|\mathrm{a}|>4\)
BITSAT-2020
For More Updates join with Us
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Co-Ordinate system

88423 The joint equation of a pair of lines passing through the point of intersection of line
\(2 x^{2}-x y-15 y^{2}-7 x+32 y-9=0\) and parallel to co-ordinate axes is

1 \(x y+x+2 y-2=0\)
2 \(x y+x+2 y+2=0\)
3 \(x y-x-2 y-2=0\)
4 \(x y-x-2 y+2=0\)
MHT CET-2020
Co-Ordinate system

88424 If one of the lines given by the equation \(x^{2}+k x y+2 y^{2}=0\) is \(x+2 y=0\), then \(k=\)

1 3
2 1
3 2
4 4
MHT CET-2020
Co-Ordinate system

88425 The joint equation of two lines through the origin, each of which making an angle of \(30^{\circ}\) with line \(x+y=0\) is

1 \(x^{2}+4 x y+y^{2}=0\)
2 \(x^{2}-4 x y+y^{2}=0\)
3 \(x^{2}-4 x y-y^{2}=0\)
4 \(x^{2}+4 x y-y^{2}=0\)
MHT CET-2020
Co-Ordinate system

88428 If a chord of the circle \(x^{2}+y^{2}=8\) makes equal intercepts of length a on the coordinate axes, then

1 \(\mid\) a \(\mid\lt 8\)
2 \(|\mathrm{a}|\lt 4 \sqrt{2}\)
3 \(|\mathrm{a}|\lt 4\)
4 \(|\mathrm{a}|>4\)
BITSAT-2020
NEET DIGITAL LIBRARY