If the equations `ax^2 + 2hxy+by^2 =0 and y^2 - (m_1 + m_2) xy+m_1 m_2 x^2 =0` represent the same curve, find `m_1 +m_2 and m_1 m_2`.

If the equation ax^(2)+2hxy+by^(2)=0 represented two lines y=m_(1)x and y=m_(2)x the

If the equation ax^(2)+2hxy+by^(2)=0 represented two lines y=m_(1)x and y=m_(2)x then

If m in Z and the equation m x^(2) + (2m - 1) x + (m - 2) = 0 has rational roots, then m is of the form

If the intercept of a line between the coordinate axes is divided by the point (-5, 4) in the ratio 1:2 , then find the equation of the line. Thinking Process : Coordinates of the point which divides line segment joining (x_1 , y_1 ) and ( x_2, y_2) in ratio (m_1 : m_2) ((m_1 x_2 + m_2 x_1)/( m_1 + m_2) , ( m_1 y_2 + m_2 y_1)/( m_1 + m_2)) .

If the equation m^(2)(x + 1) + m(y – 2) + 1 = 0 represents a family of lines, where ‘m’ is parameter then find the equation of the curve to which these lines will always be tangents.

If (m-2,2m+1) lies on equation 2x+3y-10=0 find m

Statement I . The combined equation of l_1,l_2 is 3x^2+6xy+2y^2=0 and that of m_1,m_2 is 5x^2+18xy+2y^2=0 . If angle between l_1,m_2 is theta , then angle between l_2,m_1 is theta . Statement II . If the pairs of lines l_1l_2=0,m_1 m_2=0 are equally inclinded that angle between l_1 and m_2 = angle between l_2 and m_1 .

Statement I . The combined equation of l_1,l_2 is 3x^2+6xy+2y^2=0 and that of m_1,m_2 is 5x^2+18xy+2y^2=0 . If angle between l_1,m_2 is theta , then angle between l_2,m_1 is theta . Statement II . If the pairs of lines l_1l_2=0,m_1 m_2=0 are equally inclinded that angle between l_1 and m_2 = angle between l_2 and m_1 .

Statement I . The combined equation of l_1,l_2 is 3x^2+6xy+2y^2=0 and that of m_1,m_2 is 5x^2+18xy+2y^2=0 . If angle between l_1,m_2 is theta , then angle between l_2,m_1 is theta . Statement II . If the pairs of lines l_1l_2=0,m_1 m_2=0 are equally inclinded that angle between l_1 and m_2 = angle between l_2 and m_1 .

Statement I . The combined equation of l_1,l_2 is 3x^2+6xy+2y^2=0 and that of m_1,m_2 is 5x^2+18xy+2y^2=0 . If angle between l_1,m_2 is theta , then angle between l_2,m_1 is theta . Statement II . If the pairs of lines l_1l_2=0,m_1 m_2=0 are equally inclined that angle between l_1 and m_2 = angle between l_2 and m_1 .