Prove that the lines `y=m, x, r=1, 2, 3`. Cut off equal intercepts on the transversal `x+y=1` if `1+m_1, 1+m_2 , 1+m_3` are in H.P.

If the transversal y=m_r ​ x; r=1, 2, 3 cut off equal intercepts on the transversal x+y=1 then 1+m_1 ​ , 1+m_2 ​ , 1+m_3 ​ are in (a) A.P. (a) G.P. (a) H.P. (a) None of these

If the transversal y = m_(r)x: r = 1,2,3 cut off equal intercepts on the transversal x +y = 1 then 1 +m_(1),1 +m_(2),1+m_(3) are in

If the lines y = 3x + 1 and 2y = x + 3 are equally inclined to the line y=mx +4 , (1/2 < m < 3) then find the values m

The lines y=m_1x ,y=m_2xa n dy=m_3x make equal intercepts on the line x+y=1. Then (a) 2(1+m_1)(1+m_3)=(1+m_2)(2+m_1+m_3) (b) (1+m_1)(1+m_3)=(1+m_2)(1+m_1+m_3) (c) (1+m_1)(1+m_2)=(1+m_3)(2+m_1+m_3) (d) 2(1+m_1)(1+m_3)=(1+m_2)(1+m_1+m_3)

If the lines y" "=" "3x" "+" "1 and 2y" "=" "x" "+" "3 are equally inclined to the line y" "=" "m x" "+" "4 , find the value of m.

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

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

Find the value of m, if x = 2, y = 1 is a solution of the equation 2x + 3y = m.

The slopes of the tangents to the curve y=(x+1)(x-3) at the points where it cuts the x - axis, are m_(1) and m_(2) , then the value of m_(1)+m_(2) is equal to

Prove that the line y=m(x-1)+3sqrt(1+m^(2))-2 touches the circle x^(2)+y^(2)-2x+4y-4=0 for all real values of m.