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Intersecting Lines

Y=mx be a var...

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Y=mx be a variable line intersects lines 2x +y-2=0 & x-2y+2=0 in P and Q. The locus of midpoint of segment of PQ is. ___

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Q. A variable chord

P Q

of the parabola

y^{2} = 4 a x

is drawn parallel to line

y = x

. Then the locus of point of intersection of normals at

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x - 2 y + 2 = 0

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B

. Show the locus of the mid-point of

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2 x^{2} - 3 x y - 2 y^{2} + x + 3 y = 0

Q. If a variable line y = 2x + p lies between the circles

x^{2} + y^{2} - 2 x - 2 y + 1 = 0

x^{2} + y^{2} - 16 x - 2 y + 61 = 0

without intersecting or touching either circles, then number of integral values of p is

y = m x + 1

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Q

. If the midpoint of the line segment

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x

- \frac{3}{5}

, then which one of the following options is correct?

Q. A variable chord

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y^{2} = 4 a x

is drawn parallel to line

y = x

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