Home
Class 12
MATHS
If x^(a)=c^(b) and x^(c )=c^(a) show th...

If `x^(a)=c^(b)` and `x^(c )=c^(a)` show that `a^(2)=bc`

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 x^(a).x^(b).x^(c )=1 (x ne 0) show that x^(a^(2)/(bc)).x^(b^(2)/(ca)).x^(c^(2)/(ab))=x^(3)

If x=log_(a)(bc),y=log_(b)(ca) and z=log_(c )(ab) show that x+y+z+2=xyz

If a^(x)=b,b^(y)=c,c^(z)=a show that xyz =1 (a,b,c positive numbers)

If x/a = y/b = z/c , then show that (x^(2)-yz)/(a^(2)-bc) = (y^(2)-zx)/(b^(2) - ca) = (z^(2)-xy)/(c^(2)-ab)

(a) If x + y + z=0, show that x ^(3) + y ^(3) + z ^(3)= 3 xyz. (b) Show that (a-b)^(3) + (b-c) ^(3) + (c-a)^(3) =3 (a-b) (b-c) (c-a)

If (loga)/(y+z)=(log b)/(z+x)=(log c)/(x+y) show that (b/c )^(x)(c /a)^(y)(a/b)^z=1

If x^2/(by+cz)=y^2/(cz+ax)=z^2/(ax+by)=1 then show that a/(a+x)+b/(b+y)+c/(c+z)=1

If a, b, c are In A.P., then show that, a^(2)(b+c), b^(2)(c+a), c^(2)(a+b) are in A.P. (ab+bc+ca != 0)

If the A.M. of (1)/(b-a) and (1)/(b-c) is (1)/(2(b-x)) , then show that (x-b)^(2) = (x-c)(x-a) .

If (b^(2)+c^(2)-a^(2))/(2bc), (c^(2)+a^(2)-b^(2))/(2ca) and (a^(2)+b^(2)-c^(2))/(2ab) are in A.P. then show that, a(b+c-a), b(c+a-c) and c(a+b-c) are also in A.P. [a+b+c != 0] .