If roots of the equation `x^2(1 + m^2) + 2mcx + c^2 - a^2 = 0` are equal, then value of `c` is (A) `a sqrt(1 + m^2)` (B) `a sqrt(1 - m^2)`(C) `m sqrt(1 + a^2)` (D) `m sqrt(1 -a^2)`

If the equation (1+m^2)x^2+2m c x+(c^2-a^2)=0 has equal roots, prove that c^2=a^2(1+m^2)dot

If the equation (1+m^(2))x^(2)+2mcx+c^(2)-a^(2)= 0 has equal roots, show that c^(2)=a^(2)(1+m^(2)) .

If the equation (1+m^(2))x^(2)+2mcx+(c^(2)-a^(2))=0 has equal roots,prove that c^(2)=a^(2)(1+m^(2))

If ratio of the roots of the quadratic equation 3m^2x^2+m(m-4)x+2=0 is lamda such that lamda+1/lamda=1 then least value of m is (A) -2-2sqrt3 (B) -2+2sqrt3 (C) 4+3sqrt2 (D) 4-3sqrt2

If ratio of the roots of the quadratic equation 3m^2x^2+m(m-4)x+2=0 is lamda such that lamda+1/lamda=1 then least value of m is (A) -2-2sqrt3 (B) -2+2sqrt3 (C) 4+3sqrt2 (D) 4-3sqrt2

If ratio of the roots of the quadratic equation 3m^2x^2+m(m-4)x+2=0 is lamda such that lamda+1/lamda=1 then least value of m is (A) -2-2sqrt3 (B) -2+2sqrt3 (C) 4+3sqrt2 (D) 4-3sqrt2

If ratio of the roots of the quadratic equation 3m^2x^2+m(m-4)x+2=0 is lamda such that lamda+1/lamda=1 then least value of m is (A) -2-2sqrt3 (B) -2+2sqrt3 (C) 4+3sqrt2 (D) 4-3sqrt2

A B C D is a square of side 4 cm. If E is a point in the interior of the square such that C E D is equilateral, then area of A C E is (a) 2(sqrt(3)-1)c m^2 (b) 4(sqrt(3)-1)c m^2 (c) 6(sqrt(3)-1)c m^2 (d) 8(sqrt(3)-1)c m^2