120100 The equation \(y^2+4 x+4 y+k=0\) represents a parabola whose latusrectum is

120101 The two lines \(t y=x+t^2\) and \(y+t x=2 t+t^3\) intersect at the point lines on the curve whose equation is

120102 The point on the parabola \(y^2=64 x\) which is nearest to the line \(4 x+3 y+35=0\) has coordinates

120103 The value of \(\lambda\) for which the curve
\((7 x+5)^2+(7 y+3)^2=\lambda^2(4 x+3 y-24)^2\)
represents a parabola is

120104 A line passing through the point of intersection of \(x+y=4\) and \(x-y=2\) makes an angle \(\tan ^{-1}\) \(\left(\frac{3}{2}\right)\) with the \(\mathrm{X}\)-axis. It intersects the parabola \(y^2=4(x-3)\) at points \(\left(x_1-x_2\right)\) and \(\left(x_2, y_2\right)\) respectively. Then, \(\left|x_1-x_2\right|\) is equal to

120100 The equation \(y^2+4 x+4 y+k=0\) represents a parabola whose latusrectum is

120101 The two lines \(t y=x+t^2\) and \(y+t x=2 t+t^3\) intersect at the point lines on the curve whose equation is

120102 The point on the parabola \(y^2=64 x\) which is nearest to the line \(4 x+3 y+35=0\) has coordinates

120103 The value of \(\lambda\) for which the curve
\((7 x+5)^2+(7 y+3)^2=\lambda^2(4 x+3 y-24)^2\)
represents a parabola is

120104 A line passing through the point of intersection of \(x+y=4\) and \(x-y=2\) makes an angle \(\tan ^{-1}\) \(\left(\frac{3}{2}\right)\) with the \(\mathrm{X}\)-axis. It intersects the parabola \(y^2=4(x-3)\) at points \(\left(x_1-x_2\right)\) and \(\left(x_2, y_2\right)\) respectively. Then, \(\left|x_1-x_2\right|\) is equal to

120100 The equation \(y^2+4 x+4 y+k=0\) represents a parabola whose latusrectum is

120101 The two lines \(t y=x+t^2\) and \(y+t x=2 t+t^3\) intersect at the point lines on the curve whose equation is

120102 The point on the parabola \(y^2=64 x\) which is nearest to the line \(4 x+3 y+35=0\) has coordinates

120103 The value of \(\lambda\) for which the curve
\((7 x+5)^2+(7 y+3)^2=\lambda^2(4 x+3 y-24)^2\)
represents a parabola is

120104 A line passing through the point of intersection of \(x+y=4\) and \(x-y=2\) makes an angle \(\tan ^{-1}\) \(\left(\frac{3}{2}\right)\) with the \(\mathrm{X}\)-axis. It intersects the parabola \(y^2=4(x-3)\) at points \(\left(x_1-x_2\right)\) and \(\left(x_2, y_2\right)\) respectively. Then, \(\left|x_1-x_2\right|\) is equal to

120100 The equation \(y^2+4 x+4 y+k=0\) represents a parabola whose latusrectum is

120101 The two lines \(t y=x+t^2\) and \(y+t x=2 t+t^3\) intersect at the point lines on the curve whose equation is

120102 The point on the parabola \(y^2=64 x\) which is nearest to the line \(4 x+3 y+35=0\) has coordinates

120103 The value of \(\lambda\) for which the curve
\((7 x+5)^2+(7 y+3)^2=\lambda^2(4 x+3 y-24)^2\)
represents a parabola is

120104 A line passing through the point of intersection of \(x+y=4\) and \(x-y=2\) makes an angle \(\tan ^{-1}\) \(\left(\frac{3}{2}\right)\) with the \(\mathrm{X}\)-axis. It intersects the parabola \(y^2=4(x-3)\) at points \(\left(x_1-x_2\right)\) and \(\left(x_2, y_2\right)\) respectively. Then, \(\left|x_1-x_2\right|\) is equal to

120100 The equation \(y^2+4 x+4 y+k=0\) represents a parabola whose latusrectum is

120101 The two lines \(t y=x+t^2\) and \(y+t x=2 t+t^3\) intersect at the point lines on the curve whose equation is

120102 The point on the parabola \(y^2=64 x\) which is nearest to the line \(4 x+3 y+35=0\) has coordinates

120103 The value of \(\lambda\) for which the curve
\((7 x+5)^2+(7 y+3)^2=\lambda^2(4 x+3 y-24)^2\)
represents a parabola is

120104 A line passing through the point of intersection of \(x+y=4\) and \(x-y=2\) makes an angle \(\tan ^{-1}\) \(\left(\frac{3}{2}\right)\) with the \(\mathrm{X}\)-axis. It intersects the parabola \(y^2=4(x-3)\) at points \(\left(x_1-x_2\right)\) and \(\left(x_2, y_2\right)\) respectively. Then, \(\left|x_1-x_2\right|\) is equal to