Locus and its Equation
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Co-Ordinate system

88456 The locus of the middle points of all chords of the parabola \(y^{2}=4 a x\) passing through the vertex is

1 a straight line
2 an ellipse
3 a parabola
4 a circle
WB JEE-2011
Co-Ordinate system

88457 The equation of the locus of the point of intersection of the straight lines \(x \sin \theta+(1-\) \(\cos \theta) y=a \sin \theta\) and \(x \sin \theta-(1-\cos \theta) y+a\) \(\sin \theta=0\) is

1 \(y= \pm a x\)
2 \(x= \pm a y\)
3 \(y^{2}=4 a x\)
4 \(x^{2}+y^{2}=a^{2}\)
WB JEE-2011
Co-Ordinate system

88458 The equation \(8 x^{2}+12 y^{2}-4 x+4 y-1=0\) represents

1 an ellipse
2 a hyperbola
3 a parabola
4 a circle
WB JEE-2011
Co-Ordinate system

88459 A straight line through the point of intersection of the lines \(x+2 y=4\) and \(2 x+y=4\) meets the coordinate axes at \(A\) and \(B\). The locus of the mid-point of \(A B\) is

1 \(3(x+y)=2 x y\)
2 \(2(x+y)=3 x y\)
3 \(2(x+y)=x y\)
4 \(x+y=3 x y\)
WB JEE-2012
NEET DIGITAL LIBRARY
Co-Ordinate system

88456 The locus of the middle points of all chords of the parabola \(y^{2}=4 a x\) passing through the vertex is

1 a straight line
2 an ellipse
3 a parabola
4 a circle
WB JEE-2011
Co-Ordinate system

88457 The equation of the locus of the point of intersection of the straight lines \(x \sin \theta+(1-\) \(\cos \theta) y=a \sin \theta\) and \(x \sin \theta-(1-\cos \theta) y+a\) \(\sin \theta=0\) is

1 \(y= \pm a x\)
2 \(x= \pm a y\)
3 \(y^{2}=4 a x\)
4 \(x^{2}+y^{2}=a^{2}\)
WB JEE-2011
Co-Ordinate system

88458 The equation \(8 x^{2}+12 y^{2}-4 x+4 y-1=0\) represents

1 an ellipse
2 a hyperbola
3 a parabola
4 a circle
WB JEE-2011
Co-Ordinate system

88459 A straight line through the point of intersection of the lines \(x+2 y=4\) and \(2 x+y=4\) meets the coordinate axes at \(A\) and \(B\). The locus of the mid-point of \(A B\) is

1 \(3(x+y)=2 x y\)
2 \(2(x+y)=3 x y\)
3 \(2(x+y)=x y\)
4 \(x+y=3 x y\)
WB JEE-2012
Join With Us for More Updates
Co-Ordinate system

88456 The locus of the middle points of all chords of the parabola \(y^{2}=4 a x\) passing through the vertex is

1 a straight line
2 an ellipse
3 a parabola
4 a circle
WB JEE-2011
Co-Ordinate system

88457 The equation of the locus of the point of intersection of the straight lines \(x \sin \theta+(1-\) \(\cos \theta) y=a \sin \theta\) and \(x \sin \theta-(1-\cos \theta) y+a\) \(\sin \theta=0\) is

1 \(y= \pm a x\)
2 \(x= \pm a y\)
3 \(y^{2}=4 a x\)
4 \(x^{2}+y^{2}=a^{2}\)
WB JEE-2011
Co-Ordinate system

88458 The equation \(8 x^{2}+12 y^{2}-4 x+4 y-1=0\) represents

1 an ellipse
2 a hyperbola
3 a parabola
4 a circle
WB JEE-2011
Co-Ordinate system

88459 A straight line through the point of intersection of the lines \(x+2 y=4\) and \(2 x+y=4\) meets the coordinate axes at \(A\) and \(B\). The locus of the mid-point of \(A B\) is

1 \(3(x+y)=2 x y\)
2 \(2(x+y)=3 x y\)
3 \(2(x+y)=x y\)
4 \(x+y=3 x y\)
WB JEE-2012
For More Updates join with Us
Co-Ordinate system

88456 The locus of the middle points of all chords of the parabola \(y^{2}=4 a x\) passing through the vertex is

1 a straight line
2 an ellipse
3 a parabola
4 a circle
WB JEE-2011
Co-Ordinate system

88457 The equation of the locus of the point of intersection of the straight lines \(x \sin \theta+(1-\) \(\cos \theta) y=a \sin \theta\) and \(x \sin \theta-(1-\cos \theta) y+a\) \(\sin \theta=0\) is

1 \(y= \pm a x\)
2 \(x= \pm a y\)
3 \(y^{2}=4 a x\)
4 \(x^{2}+y^{2}=a^{2}\)
WB JEE-2011
Co-Ordinate system

88458 The equation \(8 x^{2}+12 y^{2}-4 x+4 y-1=0\) represents

1 an ellipse
2 a hyperbola
3 a parabola
4 a circle
WB JEE-2011
Co-Ordinate system

88459 A straight line through the point of intersection of the lines \(x+2 y=4\) and \(2 x+y=4\) meets the coordinate axes at \(A\) and \(B\). The locus of the mid-point of \(A B\) is

1 \(3(x+y)=2 x y\)
2 \(2(x+y)=3 x y\)
3 \(2(x+y)=x y\)
4 \(x+y=3 x y\)
WB JEE-2012
NEET DIGITAL LIBRARY