If `x=m x+c` touches the parabola `y^2=4a(x+a),` then (a)`c=a/m` (b) `c=a m+a/m` (c)`c=a+a/m` (d) none of these

If the line (x)/(l)+(y)/(m)=1 touches the parabola y^(2)=4a(x+b) then m^(2)(l+b)=

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

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

If the line y=mx+c touches the parabola y^(2)=12(x+3) exactly for one value of m(m gt0) , then the value of (c+m)/(c-m) is equal to

If y=m_(1)x+c and y=m_(2)x+c are two tangents to the parabola y^(2)+4a(x+a)=0 then (a)m_(1)+m_(2)=0(b)1+m_(1)+m_(2)=0 (c) m_(1)m_(2)-1=0 (d) 1+m_(1)m_(2)=0

In a A B C , A D is the bisector of /_B A C . If A B=6c m , A C=5c m and B D=3c m , then D C= 11. 3 c m (b) 2. 5 c m (c) 3:5c m (d) None of these

The straight line y=mx+c , (m > 0) touches the parabola y^(2)=8(x+2) then the minimum value taken by c is

If a,b,c in G.P. x,y be the A.M.\'s between a,b and b,c respectively then (a/x+c/y)(b/x+b/y)= (A) 2 (B) -4 (C) 4 (D) none of these

If y=sin(m sin^(-1)x), then (1-x^(2))y_(2)-xy_(1) is equal to m^(2)y(b)my(c)-m^(2)y(d) none of these

The value of lim_(m rarr oo)(cos((x)/(m)))^(m) is 1(b)e(c)e^(-1)(d) none of these