The line `y=mx+1` is a tangent to the parabola `y^2 = 4x` if (A) `m=1` (B) `m=2` (C) `m=4` (D) `m=3`

The line y=mx+1 is a tangent to the curve y^2=4x if the value of m is (A) 1 (B) 2 (C) 3 (D) 1/2 .

If the line y=mx+1 is tangent to the parabola y^(2)=4x, then find the value of m .

Show that the condition that the line y=mx+c may be a tangent to the parabola y^(2)=4ax is c=(a)/(m)

The line y=mx+1 is a tangent to the curve y^(2)=4x if the value of m is (A) 1(B)2(C)3(D)(1)/(2)

The line y=m x+1 is a tangent to the curve y^2=4x , if the value of m is (a) 1 (b) 2 (c) 3 (d) 1/2

Statement I The line y=mx+a/m is tangent to the parabola y^2=4ax for all values of m. Statement II A straight line y=mx+c intersects the parabola y^2=4ax one point is a tangent line.

Differential equation of all tangents to the parabola y^2=4ax is (A) y=mx+a/m , m!=0 (B) y_1(yy_1-x)=a (C) xy_1^2-yy_1+a=0 (D) none of these

If the straight line y=mx+1 be the tangent of the parabola y^(2)=4x at the point (1,2) then the value of m will be-

If y=mx+4 is a tangent to both the parabolas, y^(2)=4x and x^(2)=2by , then b is equal to :

If y+3=m_1(x+2) and y+3=m_2(x+2) are two tangents to the parabola y_2=8x , then (a)m_1+m_2=0 (b) m_1+m_2=-1 (c)m_1+m_2=1 (d) none of these