निम्न बिंदुओं के बीच की दूरी ज्ञात कीजिए-A(at_(1)^(2), 2at_(1)), B(at_(2)^(2), 2at_(2)) | 11 | स...

The points (at_(1)^(2),2at_(1)),(at_(2)^(2),2at_(2)) and (a,0) will be collinear,if

The chord AB of the parabola y^(2)=4ax cuts the axis of the parabola at C. If A-=(at_(1)^(2),2at_(1)),B-=(at_(2)^(2),2at_(2)), and AC:AB1:3, then prove that t_(2)+2t_(1)=0

If a circle intersects the parabola y^(2) = 4ax at points A(at_(1)^(2), 2at_(1)), B(at_(2)^(2), 2at_(2)), C(at_(3)^(2), 2at_(3)), D(at_(4)^(2), 2at_(4)), then t_(1) + t_(2) + t_(3) + t_(4) is

If O is the orthocentre of triangle ABC whose vertices are at A(at_(1)^(2),2at_(1), B (at_(2)^(2),2at_(2)) and C (at_(3)^(2), 2at_(3)) then the coordinates of the orthocentreof Delta O'BC are

Find the distance between the points (at_(1)^(2), 2 at_(1)) and (at_(2)^(2), 2 at_(2)) , where t_(1) and t_(2) are the roots of the equation x^(2)-2sqrt(3)x+2=0 and a gt 0 .

The tangent to the parabola y^(2)=4ax at P(at_(1)^(2), 2at_(1))" and Q"(at_(2)^(2), 2at_(2)) intersect on its axis, them

The tangents to the parabola y^(2)=4ax at P(at_(1)^(2),2at_(1)), and Q(at_(2)^(2),2at_(2)), intersect at R Prove that the area of the triangle PQR is (1)/(2)a^(2)(t_(1)-t_(2))^(3)

If the points : A(at_(1)^(2),2at_(1)),B(at_(2)^(2),2at_(2)) and C(a,0) are collinear,then t_(1)t_(2) are equal to

Find the distance between the points: P(-6,7) and Q(-1,-5)R(a+b,a-b) and S(a-b-b)A(at_(1)^(2),2at_(1)) and B(at_(2)^(2),2at_(2))