Home
Class 12
MATHS
If x^(a)=y^(b)=(xy)^(c ) prove that ab=...

If `x^(a)=y^(b)=(xy)^(c )` prove that ab=c(a+b)

Promotional Banner

Topper's Solved these Questions

  • LAWS OF INDICES

    CHHAYA PUBLICATION|Exercise Long Answer Type Questions|6 Videos

  • LAWS OF INDICES

    CHHAYA PUBLICATION|Exercise Very Short Answer Type Questions|14 Videos

  • INTRODUCTION TO THREE-DIMENSIONAL COORDINATE GEOMETRY

    CHHAYA PUBLICATION|Exercise Sample questions for Competitive Exams ( D Comprehension Type)|4 Videos

  • LIMIT

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams (Assertion -Reason Type)|2 Videos

Similar Questions

Explore conceptually related problems

If a^(x)=b^(y)=c^(z) and b^(2)=ac prove that (1)/(x)+(1)/(z)=(2)/(y)

If (y/z)^a (z/x)^b (x/y)^c=1 , then prove that (y/z)^((1)/(b-c))=(z/x)^((1)/(c-a))=(x/y)^((1)/(a-b)) .

If x^a=y^b=z^c " and "y^3=zx , then prove that b(c+a)=3ca .

If (logx)/(b-c)=(logy)/(c-a)=(logz)/(a-b) prove that (a) x^(a)y^(b)z^(c )=1 (b) x^(b+c).y^(c+a).z^(a+b)=1 (c ) x^(b^(2)+bc+c^(2) . y^(c^(2)+ca+a^(2)) . z^(a^(2)+ab+b^(2)) =1

If a : b = b : c , then prove that (abc(a+b+c)^(3))/((ab+bc+ca)^(3)) = 1

If a, b, c are in G.P. and a^(1/x) =b^(1/y)=c^(1/z) , prove that x, y , x are in A.P

If y=(ax^2)/((x-a)(x-b)(x-c))+(b x)/((x-b)(x-c))+c/(x-c)+1 , then prove that (y')/y=1/x[a/(a-x)+b/(b-x)+c/(c-x)]

If (x^2-yz)/a=(y^2-zx)/b=(z^2-xy)/c , show that (a+b+c)(x+y+z)=(ax+by+cz).

If x : a = y : b = z : c , then prove that (a^(2) + b^(2) + c^(2))(x^(2) + y^(2) + z^(2)) = (ax + by + cz)^(2)

If a^2+b^2+c^2-ab-bc-ca=0 then, prove that a=b=c