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Straight Line

88766 Let \(P \equiv(-1,0), Q \equiv(0,0)\) and \(R \equiv(3,3 \sqrt{3})\) be three points. The equation of the bisector of the angle \(\mathrm{PQR}\) is

1 \(\sqrt{3} x-y=0\)
2 \(x-\sqrt{3} y=0\)
3 \(\sqrt{3} x+y=0\)
4 \(x+\sqrt{3} y=0\)
Karnataka CET-2010
Straight Line

88765 The quadratic equation whose roots are the \(x\) and \(y\) intercepts of the line passing through (1, 1) and making a triangle of area \(A\) with the coordinate axes is

1 \(\mathrm{x}^{2}+\mathrm{Ax}+2 \mathrm{~A}=0\)
2 \(\mathrm{x}^{2}-2 \mathrm{Ax}+2 \mathrm{~A}=0\)
3 \(\mathrm{x}^{2}-\mathrm{Ax}+2 \mathrm{~A}=0\)
4 None of these
BITSAT-2013
Straight Line

88767 If the lines represented by \(x^{2}-2 p x y-y^{2}\) are rotated about the origin through an angle \(\theta\), one in clockwise direction and other in anticlockwise direction. Then, the equation of bisectors of the angles between the lines in the new position is

1 \(p x_{2}^{2}+2 x y+p y_{2}^{2}=0\)
2 \(p x^{2}-2 x y+p y^{2}=0\)
3 \(p x^{2}+2 x y-p y^{2}=0\)
4 None of the above
JCECE-2012
Straight Line

88768 The equation of the bisector of the angle between the lines \(2 x+y-6=0\) and \(2 x-4 y+7\)
\(=0\) which contains the point \((1,2)\) is

1 \(6 x-2 y-5=0\)
2 \(2 x+6 y-19=0\)
3 \(6 x+2 y-5=0\)
4 \(2 x+6 y+19=0\)
BCECE-2018
Straight Line

88769 The perpendicular bisector of line segment joining the points \(P(1,4)\) and \(Q(k, 3)\) has \(y\) intercept ' -4 '. Then a possible value of ' \(k\) ' among the following is

1 2
2 -2
3 -4
4 -1
APEAPCET-2021-23.08.2021
NEET DIGITAL LIBRARY
Straight Line

88766 Let \(P \equiv(-1,0), Q \equiv(0,0)\) and \(R \equiv(3,3 \sqrt{3})\) be three points. The equation of the bisector of the angle \(\mathrm{PQR}\) is

1 \(\sqrt{3} x-y=0\)
2 \(x-\sqrt{3} y=0\)
3 \(\sqrt{3} x+y=0\)
4 \(x+\sqrt{3} y=0\)
Karnataka CET-2010
Straight Line

88765 The quadratic equation whose roots are the \(x\) and \(y\) intercepts of the line passing through (1, 1) and making a triangle of area \(A\) with the coordinate axes is

1 \(\mathrm{x}^{2}+\mathrm{Ax}+2 \mathrm{~A}=0\)
2 \(\mathrm{x}^{2}-2 \mathrm{Ax}+2 \mathrm{~A}=0\)
3 \(\mathrm{x}^{2}-\mathrm{Ax}+2 \mathrm{~A}=0\)
4 None of these
BITSAT-2013
Straight Line

88767 If the lines represented by \(x^{2}-2 p x y-y^{2}\) are rotated about the origin through an angle \(\theta\), one in clockwise direction and other in anticlockwise direction. Then, the equation of bisectors of the angles between the lines in the new position is

1 \(p x_{2}^{2}+2 x y+p y_{2}^{2}=0\)
2 \(p x^{2}-2 x y+p y^{2}=0\)
3 \(p x^{2}+2 x y-p y^{2}=0\)
4 None of the above
JCECE-2012
Straight Line

88768 The equation of the bisector of the angle between the lines \(2 x+y-6=0\) and \(2 x-4 y+7\)
\(=0\) which contains the point \((1,2)\) is

1 \(6 x-2 y-5=0\)
2 \(2 x+6 y-19=0\)
3 \(6 x+2 y-5=0\)
4 \(2 x+6 y+19=0\)
BCECE-2018
Straight Line

88769 The perpendicular bisector of line segment joining the points \(P(1,4)\) and \(Q(k, 3)\) has \(y\) intercept ' -4 '. Then a possible value of ' \(k\) ' among the following is

1 2
2 -2
3 -4
4 -1
APEAPCET-2021-23.08.2021
Join With Us for More Updates
Straight Line

88766 Let \(P \equiv(-1,0), Q \equiv(0,0)\) and \(R \equiv(3,3 \sqrt{3})\) be three points. The equation of the bisector of the angle \(\mathrm{PQR}\) is

1 \(\sqrt{3} x-y=0\)
2 \(x-\sqrt{3} y=0\)
3 \(\sqrt{3} x+y=0\)
4 \(x+\sqrt{3} y=0\)
Karnataka CET-2010
Straight Line

88765 The quadratic equation whose roots are the \(x\) and \(y\) intercepts of the line passing through (1, 1) and making a triangle of area \(A\) with the coordinate axes is

1 \(\mathrm{x}^{2}+\mathrm{Ax}+2 \mathrm{~A}=0\)
2 \(\mathrm{x}^{2}-2 \mathrm{Ax}+2 \mathrm{~A}=0\)
3 \(\mathrm{x}^{2}-\mathrm{Ax}+2 \mathrm{~A}=0\)
4 None of these
BITSAT-2013
Straight Line

88767 If the lines represented by \(x^{2}-2 p x y-y^{2}\) are rotated about the origin through an angle \(\theta\), one in clockwise direction and other in anticlockwise direction. Then, the equation of bisectors of the angles between the lines in the new position is

1 \(p x_{2}^{2}+2 x y+p y_{2}^{2}=0\)
2 \(p x^{2}-2 x y+p y^{2}=0\)
3 \(p x^{2}+2 x y-p y^{2}=0\)
4 None of the above
JCECE-2012
Straight Line

88768 The equation of the bisector of the angle between the lines \(2 x+y-6=0\) and \(2 x-4 y+7\)
\(=0\) which contains the point \((1,2)\) is

1 \(6 x-2 y-5=0\)
2 \(2 x+6 y-19=0\)
3 \(6 x+2 y-5=0\)
4 \(2 x+6 y+19=0\)
BCECE-2018
Straight Line

88769 The perpendicular bisector of line segment joining the points \(P(1,4)\) and \(Q(k, 3)\) has \(y\) intercept ' -4 '. Then a possible value of ' \(k\) ' among the following is

1 2
2 -2
3 -4
4 -1
APEAPCET-2021-23.08.2021
For More Updates join with Us
Straight Line

88766 Let \(P \equiv(-1,0), Q \equiv(0,0)\) and \(R \equiv(3,3 \sqrt{3})\) be three points. The equation of the bisector of the angle \(\mathrm{PQR}\) is

1 \(\sqrt{3} x-y=0\)
2 \(x-\sqrt{3} y=0\)
3 \(\sqrt{3} x+y=0\)
4 \(x+\sqrt{3} y=0\)
Karnataka CET-2010
Straight Line

88765 The quadratic equation whose roots are the \(x\) and \(y\) intercepts of the line passing through (1, 1) and making a triangle of area \(A\) with the coordinate axes is

1 \(\mathrm{x}^{2}+\mathrm{Ax}+2 \mathrm{~A}=0\)
2 \(\mathrm{x}^{2}-2 \mathrm{Ax}+2 \mathrm{~A}=0\)
3 \(\mathrm{x}^{2}-\mathrm{Ax}+2 \mathrm{~A}=0\)
4 None of these
BITSAT-2013
Straight Line

88767 If the lines represented by \(x^{2}-2 p x y-y^{2}\) are rotated about the origin through an angle \(\theta\), one in clockwise direction and other in anticlockwise direction. Then, the equation of bisectors of the angles between the lines in the new position is

1 \(p x_{2}^{2}+2 x y+p y_{2}^{2}=0\)
2 \(p x^{2}-2 x y+p y^{2}=0\)
3 \(p x^{2}+2 x y-p y^{2}=0\)
4 None of the above
JCECE-2012
Straight Line

88768 The equation of the bisector of the angle between the lines \(2 x+y-6=0\) and \(2 x-4 y+7\)
\(=0\) which contains the point \((1,2)\) is

1 \(6 x-2 y-5=0\)
2 \(2 x+6 y-19=0\)
3 \(6 x+2 y-5=0\)
4 \(2 x+6 y+19=0\)
BCECE-2018
Straight Line

88769 The perpendicular bisector of line segment joining the points \(P(1,4)\) and \(Q(k, 3)\) has \(y\) intercept ' -4 '. Then a possible value of ' \(k\) ' among the following is

1 2
2 -2
3 -4
4 -1
APEAPCET-2021-23.08.2021
NEET DIGITAL LIBRARY
Straight Line

88766 Let \(P \equiv(-1,0), Q \equiv(0,0)\) and \(R \equiv(3,3 \sqrt{3})\) be three points. The equation of the bisector of the angle \(\mathrm{PQR}\) is

1 \(\sqrt{3} x-y=0\)
2 \(x-\sqrt{3} y=0\)
3 \(\sqrt{3} x+y=0\)
4 \(x+\sqrt{3} y=0\)
Karnataka CET-2010
Straight Line

88765 The quadratic equation whose roots are the \(x\) and \(y\) intercepts of the line passing through (1, 1) and making a triangle of area \(A\) with the coordinate axes is

1 \(\mathrm{x}^{2}+\mathrm{Ax}+2 \mathrm{~A}=0\)
2 \(\mathrm{x}^{2}-2 \mathrm{Ax}+2 \mathrm{~A}=0\)
3 \(\mathrm{x}^{2}-\mathrm{Ax}+2 \mathrm{~A}=0\)
4 None of these
BITSAT-2013
Straight Line

88767 If the lines represented by \(x^{2}-2 p x y-y^{2}\) are rotated about the origin through an angle \(\theta\), one in clockwise direction and other in anticlockwise direction. Then, the equation of bisectors of the angles between the lines in the new position is

1 \(p x_{2}^{2}+2 x y+p y_{2}^{2}=0\)
2 \(p x^{2}-2 x y+p y^{2}=0\)
3 \(p x^{2}+2 x y-p y^{2}=0\)
4 None of the above
JCECE-2012
Straight Line

88768 The equation of the bisector of the angle between the lines \(2 x+y-6=0\) and \(2 x-4 y+7\)
\(=0\) which contains the point \((1,2)\) is

1 \(6 x-2 y-5=0\)
2 \(2 x+6 y-19=0\)
3 \(6 x+2 y-5=0\)
4 \(2 x+6 y+19=0\)
BCECE-2018
Straight Line

88769 The perpendicular bisector of line segment joining the points \(P(1,4)\) and \(Q(k, 3)\) has \(y\) intercept ' -4 '. Then a possible value of ' \(k\) ' among the following is

1 2
2 -2
3 -4
4 -1
APEAPCET-2021-23.08.2021