Unanswered Parabola Questions

The parametric representation (2+{{t}^{2}},2t+1) represents ...

The points on the parabola {{y}^{2}}=12x , whose focal distance is 4, are ...

The equation of common tangent to the circle {{x}^{2}}+{{y}^{2}}=2 and parabola {{y}^{2}}=8x is ...

If PSQ is the focal chord of the parabola {{y}^{2}}=8x such that SP=6 . Then the length SQ is ...

The axis of the parabola 9{{y}^{2}}-16x-12y-57=0 is__ 3y=2 __ x+3y=3 __ 2x=3 __ y=3 ...

Eccentricity of the parabola {{x}^{2}}-4x-4y+4=0 is__ e=0 __ e=1 __ e>4 __ e=4 ...

The curve described parametrically by x={{t}^{2}}+t+1,y={{t}^{2}}-t+1 represents a)A pair of straight lines b)An ellipse c)A parabola d)A hyperbola ...

The equation of the tangent to the parabola {{y}^{2}}=4x+5 parallel to the line y=2x+7 is a) 2x-y-3=0 b) 2x-y+3=0 c) 2x+y+3=0 d) None of these ...

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Consider the parabola x2 = 4y and circle x2 + (y – 5)2 = r2 (r > 0). Given that the circle touches the parabola at the points P and Q. Let R be the point of intersection of tangents to parabola at P and Q and S be the ce ...

The average cost (Rs. y) of a monthly output of x tons of a irm producing a valuable metal is Rs.((x2/10)-3x+62.5).sHOW THAT THE AVERAGE VARIABLE COST CURVE IS A PARABOLA.fIND THE OUTPUT And The cost at the vertex of the para ...