[" 4.Let "P" be the point "(1,0)" and "Q...

[" 4.Let "P" be the point "(1,0)" and "Q" a point on the locus "],[y^(2)=8x" .The locus of the midpoint of "PQ" is "],[[" (a) "y^(2)-4x+2=0," (b) "y^(2)+4x+2=0],[" (c) "x^(2)+4y+2=0," (d) "x^(2)-4y+2=0]],[[" (c) "x^(2)+4y+2=0," (d) "x^(2)-4y+2=0]],[[" (c) "x^(2)+4y+2=0," (d) "x^(2)-4y+2=0],[" (AIEEE "2005)]]

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Let P be the point (1,0) and Q be a point on the locus y^(2)=8x. The locus of the midpoint of PQ is y^(2)+4x+2=0y^(2)-4x+2=0x^(2)-4y+2=0x^(2)+4y+2=0

Let P be the point (1, 0) and Q be a point on the locus y^2=8x . The locus of the midpoint of P Q is (a) y^2+4x+2=0 (b) y^2-4x+2=0 (c) x^2-4y+2=0 (d) x^2+4y+2=0

From the points (3,4), chords are drawn to the circle x^(2)+y^(2)-4x=0 .The locus of the midpoints of the chords is (a) x^(2)+y^(2)-5x-4y+6=0(b)x^(2)+y^(2)+5x-4y+6=0(c)x^(2)+y^(2)-5x+4y+6=0(d)x^(2)+y^(2)-5x-4y-6=0

From the points (3, 4), chords are drawn to the circle x^2+y^2-4x=0 . The locus of the midpoints of the chords is (a) x^2+y^2-5x-4y+6=0 (b) x^2+y^2+5x-4y+6=0 (c) x^2+y^2-5x+4y+6=0 (d) x^2+y^2-5x-4y-6=0

The point of tangency of the circles x^(2)+y^(2)-2x-4y=0 and x^(2)+y^(2)-8y-4=0 is

If points A and B are (1, 0) and (0, 1), respectively, and point C is on the circle x^2+y^2=1 , then the locus of the orthocentre of triangle A B C is (a) x^2+y^2=4 (b) x^2+y^2-x-y=0 (c) x^2+y^2-2x-2y+1=0 (d) x^2+y^2+2x-2y+1=0

If points Aa n dB are (1, 0) and (0, 1), respectively, and point C is on the circle x^2+y^2=1 , then the locus of the orthocentre of triangle A B C is (a) x^2+y^2=4 (b) x^2+y^2-x-y=0 (c) x^2+y^2-2x-2y+1=0 (d) x^2+y^2+2x-2y+1=0

Find the equation of the tangent line to the curve y=(3x^2-1)/x at the point (1,2) is (a) 4x-y-1=0 (b) 4x+y+2=0 (c)x-y-1=0 (d) 4x-y-2=0

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