The straight lines represented by `(y-m x)^2=a^2(1+m^2)` and `(y-n x)^2=a^2(1+n^2)` from a (a)rectangle (b) rhombus (c)trapezium (d) none of these

The straight lines represented by (y-mx)^(2)=a^(2)(1+m^(2)) and (y-nx)^(2)=a^(2)(1+n^(2)) from a (a)rectangle (b) rhombus (c)trapezium (d) none of these

The straight line x cos theta+y sin theta=2 will touch the circle x^(2)+y^(2)-2x=0 if theta=n pi,n in IQ(b)A=(2n+1)pi,n in Itheta=2n pi,n in I(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

Two straight lines (y-b)=m_(1)(x+a) and (y-b)=m_(2)(x+a) are the tangents of y^(2)=4ax. Prove m_(1)m_(2)=-1

The equation x^(2)y^(2)-9y^(2)-6x^(2)y+54y=0 represents (a)a pair of straight lines and a circle (b)a pair of straight lines and a parabola (c)a set tof four straight lines forming a square (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 the equation ax^(2)+2hxy+by^(2)=0 represented two lines y=m_(1)x and y=m_(2)x the

What is the angle between the straight lines (m^(2)-mm)y=(mm+n^(2))x+n^(3) and(mn+m^(2))y=(mn-n^(2))x+m^(3) where mgtn ?

The line y=mx-((a^(2)-b^(2))m)/(sqrt(a^(2)+b^(2)m^(2))) is normal to the ellise (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 for all values of m belonging to (0,1)(b)(0,oo)(c)R(d) none of these