A pair of perpendicular lines passing through P(1.4) intersect x-axis at Q and R, then the locus of incentre of `DeltaPQR` is

Through point P(-1,4) , two perpendicular lines are drawn which intersect x-axis at Q and R. find the locus of incentre of Delta PQR .

Through the point P(3,4) a pair of perpendicular lines are dranw which meet x-axis at the point A and B. The locus of incentre of triangle PAB is

A sphere of radius 1 unit passes through O and cuts axis in P,Q,R then locus C of centroid of Delta PQR is

A curve is defined parametrically be equations x=t^(2) and y=t^(3) .A variable pair of perpendicular lines through the origin O meet the curve of P and Q. If the locus of the point of intersection of the tangents at P and Q is ay^(2)=bx-1, then the value of (a+b) is

The line L_1-=4x+3y-12=0 intersects the x-and y-axies at Aa n dB , respectively. A variable line perpendicular to L_1 intersects the x- and the y-axis at P and Q , respectively. Then the locus of the circumcenter of triangle A B Q is (a)3x-4y+2=0 (b)4x+3y+7=0 (c)6x-8y+7=0 (d) none of these

A pair of perpendicular straight lines passes through the origin and also through the point of intersection of the curve x^(2)+y^(2)=4 with x+y=a. The set containing the value of a is

A curve is given by the equations x = at^2 &y=at^3 A variable pair of perpendicular lines throughthe origin 'O' meet the curve at P & Q. Show that the locus of the point of intersection of the tangents at P & Q is 4y^2=3ax-a^2

If a circle of radius R passes through the origin O and intersects the coordinates axes at A and B, then the locus of the foot of perpendicular from O on AB is:

The tangent and normal at the point P(4,4) to the parabola, y^(2) = 4x intersect the x-axis at the points Q and R, respectively. Then the circumcentre of the DeltaPQR is