120949 If the length of the latus rectum of a parabola, whose focus is \((a, a)\) and the tangent at its vertex is \(x+y=a\), is 16 , then \(4|a|\) is equal to :

120950 If \(P(h, k)\) be a point on the parabola \(x=4 y^2\), which is nearest to the point \(Q(0,33)\), then the distance of \(P\) from the directrix of the parabola \(y^2=4(x+y)\) is equal to :

120951 If the equation of the parabola, whose vertex is at \((5,4)\) and the directrix is \(3 x+y-29=0\), is \(x^2\) \(+a y^2+b x y+c x+d y+k=0\) then \(a+b+c+d\) \(+\mathbf{k}=0\) is equal to

120952 If \(\left(x_1, y_1\right)\) and \(\left(x_2, y_2\right)\) are the end points of a focal chord of the parabola \(y^2=5 x\), then \(4 x_1 x_2+\) \(\mathbf{y}_1 \mathbf{y}_{\mathbf{2}}=\)

120949 If the length of the latus rectum of a parabola, whose focus is \((a, a)\) and the tangent at its vertex is \(x+y=a\), is 16 , then \(4|a|\) is equal to :

120950 If \(P(h, k)\) be a point on the parabola \(x=4 y^2\), which is nearest to the point \(Q(0,33)\), then the distance of \(P\) from the directrix of the parabola \(y^2=4(x+y)\) is equal to :

120951 If the equation of the parabola, whose vertex is at \((5,4)\) and the directrix is \(3 x+y-29=0\), is \(x^2\) \(+a y^2+b x y+c x+d y+k=0\) then \(a+b+c+d\) \(+\mathbf{k}=0\) is equal to

120952 If \(\left(x_1, y_1\right)\) and \(\left(x_2, y_2\right)\) are the end points of a focal chord of the parabola \(y^2=5 x\), then \(4 x_1 x_2+\) \(\mathbf{y}_1 \mathbf{y}_{\mathbf{2}}=\)

120949 If the length of the latus rectum of a parabola, whose focus is \((a, a)\) and the tangent at its vertex is \(x+y=a\), is 16 , then \(4|a|\) is equal to :

120950 If \(P(h, k)\) be a point on the parabola \(x=4 y^2\), which is nearest to the point \(Q(0,33)\), then the distance of \(P\) from the directrix of the parabola \(y^2=4(x+y)\) is equal to :

120951 If the equation of the parabola, whose vertex is at \((5,4)\) and the directrix is \(3 x+y-29=0\), is \(x^2\) \(+a y^2+b x y+c x+d y+k=0\) then \(a+b+c+d\) \(+\mathbf{k}=0\) is equal to

120952 If \(\left(x_1, y_1\right)\) and \(\left(x_2, y_2\right)\) are the end points of a focal chord of the parabola \(y^2=5 x\), then \(4 x_1 x_2+\) \(\mathbf{y}_1 \mathbf{y}_{\mathbf{2}}=\)

120949 If the length of the latus rectum of a parabola, whose focus is \((a, a)\) and the tangent at its vertex is \(x+y=a\), is 16 , then \(4|a|\) is equal to :

120950 If \(P(h, k)\) be a point on the parabola \(x=4 y^2\), which is nearest to the point \(Q(0,33)\), then the distance of \(P\) from the directrix of the parabola \(y^2=4(x+y)\) is equal to :

120951 If the equation of the parabola, whose vertex is at \((5,4)\) and the directrix is \(3 x+y-29=0\), is \(x^2\) \(+a y^2+b x y+c x+d y+k=0\) then \(a+b+c+d\) \(+\mathbf{k}=0\) is equal to

120952 If \(\left(x_1, y_1\right)\) and \(\left(x_2, y_2\right)\) are the end points of a focal chord of the parabola \(y^2=5 x\), then \(4 x_1 x_2+\) \(\mathbf{y}_1 \mathbf{y}_{\mathbf{2}}=\)