`A-=(-4,0),B-=(4,0)` M and N are the variable points of the y-axis such that `M` lies below N and `M N=4` . Lines `A M and B N` intersect at `Pdot` The locus of `P` is (a) `2x y-16-x^2=0` (b)`2x y+16-x^2=0` (c) `2x y+16+x^2=0` (d)`2x y-16+x^2=0`

Find the coordinates of eth point of intersection of the lies 2x-y+3=0 and x+2y-4=0

Let A(-4,0),B(4,0) Number of points c=(x,y) on circle x^(2)+y^(2)=16 such that area of triangle whose verties are A,B,C is positive integer is:

let A(-4,0),B(4,0) number of points c=(x,y) on circle x^(2)+y^(2)=16 such that area of triangle whose vertais one A,B,C is positive integer:

A line intersects x-axis at A(2, 0) and y-axis at B(0, 4) . A variable lines PQ which is perpendicular to AB intersects x-axis at P and y-axis at Q . AQ and BP intersect at R . Image of the locus of R in the line y = - x is : (A) x^2 + y^2 - 2x + 4y = 0 (B) x^2 + y^2 + 2x + 4y = 0 (C) x^2 + y^2 - 4y = 0 (D) x^2 + y^2 + 2x - 4y = 0

A line intersects x-axis at A(2, 0) and y-axis at B(0, 4) . A variable lines PQ which is perpendicular to AB intersects x-axis at P and y-axis at Q . AQ and BP intersect at R . Locus of R is : (A) x^2 + y^2 - 2x + 4y = 0 (B) x^2 + y^2 + 2x + 4y = 0 (C) x^2 + y^2 - 2x - 4y=0 (D) x^2 + y^2 + 2x - 4y = 0

x^(2)-16=0, y^(2)-9y + 20 = 0

y = mx be a variable line (m is variable) intersect the lines 2x + y-2=0 and x-2y + 2 = 0 in P and Q.The locus of midpoint of segment of PQ is

I. x^(2) + 4x+4 = 0 II. y^(2) - 8y + 16 = 0

From the point A (0, 3) on the circle x^2+4x+(y-3)^2=0 a chord AB is drawn & extended to a M point such that AM=2AB. The equation of the locus of M is: (A)x^2 +8x+y^2 =0 (B)x^2+8x+(y-3)^2=0 (C)(x-3)^2+8x+y^2=0 (D)x^2+8x+8y^=0

If the roots of the equation (x_(1)^(2)-a^(2))m^(2)-2x_(1)y_(1)m+y1^(2)+b^(2)=0 are the slopes of two perpendicular lines intersecting at P, then locus of P is