[" Let the tangents to the parabola "y^(2)=4ax" drawn from point "P" have slope "m_(1)" and "m_(2)" .If "],[m_(1)m_(2)=2" ,then the locus of point "P" is "],[[" W "x=a," (2) "x=(a)/(2)],[" 3."x+a=0," 4."x=2a]]

Equation of normal to the parabola y^(2)=4ax having slope m is

Prove that the tangent to the parabola y^(2)=4ax at ((a)/(m^(2)),(2a)/(m)) is y=mx+(a)/(m)

Prove that the tangent to the parabola y^(2)=4ax at ((a)/(m^(2)),(2a)/(m)) is y=mx+(a)/(m)

From a point P, two tangents are drawn to the parabola y^(2) = 4ax . If the slope of one tagents is twice the slope of other, the locus of P is

From a point P, two tangents are drawn to the parabola y^(2) = 4ax . If the slope of one tagents is twice the slope of other, the locus of P is

A : The sum and product of the slopes of the tangents to the parabola y^(2)=8x drawn form the point (-2,3) are -3/2,-1 . R : If m_(1),m_(2) are the slopes of the tangents of the parabola y^(2) =4ax through P (x_(1),y_(1)) then m_(1)+m_(2)=y_(1)//x_(1),m_(1)m_(2)=a//x_(1) .

Tangents PA and PB are drawn to x^(2)=4ay. If m(PA) and m_(PB) are the slope of these tangents and (m_(pA))^(2)+(m_(pB))^(2)=4 then locus of P is

If the chord of contact of tangents from a point P to the parabola y^(2)=4ax touches the parabola x^(2)=4by, then find the locus of P.