Questions in conic-section

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.The straight line $y=2x+\lambda $ does not meet the parabola ${{y}^{2}}=2x$ , if
The equation of the tangent at a point $P(t)$ where ‘t’ is any parameter to the parabola ${{y}^{2}}=4ax$ , is
The line $y=2x+c$ is a tangent to the parabola ${{y}^{2}}=16x$ , if c equals
The line $y=mx+1$ is a tangent to the parabola ${{y}^{2}}=4x$ , if
The angle of intersection between the curves ${{y}^{2}}=4x$ and ${{x}^{2}}=32y$ at point (16, 8), is
The locus of a foot of perpendicular drawn to the tangent of parabola ${{y}^{2}}=4ax$ from focus, is
If the straight line $x+y=1$ touches the parabola ${{y}^{2}}-y+x=0$ , then the co-ordinates of the point of contact are
If the line $y=mx+c$ is a tangent to the parabola ${{y}^{2}}=4a(x+a)$ then $ma+\frac{a}{m}$ is equal to
A tangent to the parabola ${{y}^{2}}=8x$ makes an angle of ${{45}^{o}}$ with the straight line $y=3x+5$ , then the equation of tangent is
The angle between the tangents drawn at the end points of the latus rectum of parabola ${{y}^{2}}=4ax$ , is

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