Find the greatest angle of `DeltaABC` if : `a=m, b = n, c = sqrt(m^2 + mn + n^2)`

Find the area of DeltaABC , if a=10, b=7sqrt(2) m and sqrt( c)=45^(@)

If A.M.and G.M.between two numbers is in the ratio m:n then prove that the numbers are in the ratio (m+sqrt(m^(2)-n^(2))):(m-sqrt(m^(2)-n^(2)))

Write the greatest common factor in each of the term. l ^(2) m ^(2) n, l m ^(2) n ^(2) , l ^(2) mn ^(2)

If tantheta+sintheta=m and tantheta-sintheta=n , then the value of m^2-n^2 is equal to (a)4 mn (b) 2sqrt(mn) (c) 4sqrt(mn) (d) 2sqrt(m//n)

The distance between the points (m,-n) and (-m,n) is (A) sqrt(m^2 + n^2) (B) m+n (C) 2 sqrt(m^2+n^2) (D) sqrt(2m^2 +2n^2)

Find the value of ( a^( m^2 - n^2 ))^ (( m^2 + mn + n^2 )/( m + n )) times ( a^( n^2 - p^2 ))^ (( n^2 + np + p^2 )/( n + p ))times ( a^( p^2 - m^2 ))^ (( p^2 + mp + m^2 )/( p + m )) is ( a ) 0 ( b ) 1 ( c ) a^3 ( d ) a

If the middle term amongst any odd number (n) consecutive terms of an A.P, is m, then their sum is (a) 2m^2n (b) (mn)/2 (c) mn (d) mn^2

Find the values of m and n if: 4^(2m)=(3sqrt(16))^(-(6)/(n))=(sqrt(8))^(2)

Prove m:n theorem in a Delta ABC, a point D is taken on side BC such that BD:DC is m:n. Then prove that (1)(m+n)cot theta=m cot alpha-n cot beta(2)(m+n)cot theta=n cot B-m cot C