If (m_i,1/m_i),i=1,2,3,4 are concyclic points then the value of `m_1m_2m_3m_4` is

Two tangents to the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 having m_1a n dm_2 cut the axes at four concyclic points. Fid the value of m_1m_2dot

If (m_r ,1//m_r),r=1,2,3,4, are four pairs of values of xa n dy that satisfy the equation x^2+y^2+2gx+2fy+c=0 , then the value of m_1. m_2.m_3. m_4 is a. 0 b. 1 c. -1 d. none of these

Two tangents to the hyperbola (x^(2))/(25) -(y^(2))/(9) =1 , having slopes 2 and m where (m ne 2) cuts the axes at four concyclic points then the slope m is/are

If ((1+i)/(1-i))^(m)=1 , then find the least positive integral value of m.

If the straight lines (x-5)/(5m)=(2-y)/(5)=(1-z)/(-1)andx=(2y+1)/(4m)=(1-z)/(-3) are perpendicular to each other, find the value of m.

In the adjoining figure, G, D, E, F are concyclic points of a circle with centre C . angleECF = 70^(@) m (arc DGF) = 200^(@) find (i) m arc DE (iii) m (arc DEF).

STATEMENT 1: Let m be any integer. Then the value of I_m=int_0^pi(sin2m x)/(sinx)dxi sz e rodot STATEMENT 2 : I_1=I_2=I_3==I_m

Three normals with slopes m_1, m_2 and m_3 are down from a point P not on the axis of the axis of the parabola y^2 = 4x . If m_1 m_2 = alpha , results in the locus of P being a part of parabola, Find the value of alpha