Home
Class 8
MATHS
If a^x = b^y and b^x = a^y, prove that...

If `a^x = b^y ` and ` b^x = a^y`, prove that a = b

Promotional Banner

Topper's Solved these Questions

  • Direct and Inverse Proportions

    ASHOK PUBLICATION ASSAM|Exercise EXAMPLE|46 Videos

  • Factorisation

    ASHOK PUBLICATION ASSAM|Exercise EXAMPLE|151 Videos

Similar Questions

Explore conceptually related problems

If x = a^2 - b^2, y = 2ab, z = a^2+b^2 , then prove that x^6+y^6-z^6+3x^2y^2z^2=0

If tan A -tan B = x and cot B - cot A = y, prove that cot(A-B)=1/x+1/y

If a = x+y, b=x-y and c = x+2y , then show that a^3+b^3+c^3-3abc =7y^2(3x+2y)

If y = asinx + b cosx , prove that y^ 2+ ((dy)/(dx))^2 = a^2 + b^2

If a , b , c , are real, then prove that roots of the equation 1/(x-a) + 1/(x-b) + 1/(x-c) = 0 are real.

a, b, c are in G.P. If x, y are A.M.'s between a, b and b, c respectively, prove that- a/x+c/y=2 and 1/x+1/y=2/b .

If a,b,x,y are four unequal real numbers and x^2+y^2=5 , a^2+b^2=3 ,then prove that ax+bylt4 .

If a cos theta +bsin theta=x and a sin theta-b cos theta = y then prove that a^2+b^2=x^2+y^2

If x = b + c - 2a, y = c + a-2b , z = a + b-2c , then prove that x^3+y^3+z^3-3xyz=0

If a = x+y , b = y+z , and c = z+x then show that a^3+b^3+c^3-3abc =2(x^3+y^3+z^3-3xyz)