If the equation a`x^2+2hxy+by^2=0` and `m_1m_2x^2-(m_1+m_2)xy+y^2=0` represent the same curve,then find the value of `m_1+m_2and m_1m_2`

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 the equation x^2/(4-m)+y^2/(m-7)+1=0 represents an ellipse then

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 + 1/( m - 2 ) = 4 , then find the value of ( m- 2)^2 + 1/ ( m-2 )^2

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 inclined 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 .