Home
Class 12
MATHS
If 2^(x)=3^(y)=12^(z) show that xy=z(x+...

If `2^(x)=3^(y)=12^(z)` show that xy=z(x+2y)`

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^3+3xy^2)/(y^3+3x^2y)= 63/62 show that x:y = 3:2.

For a real number 'a' with |a| lt 1 , if x = a - a^(3) + a^(5)-…, y = 1+a^(2) + a^(4)+… and z = (1)/(a) + a^(3) + a^(7)+… then show that a^(2)z = xy .

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 " sin^(-1) x +sin ^(-1) y+sin ^(-1) z=pi show that , x^(4)+y^(4)+z^(4)+4x^(2)y^(2)z^(2)=2(x^(2)y^(2)+y^(2)z^(2)+z^(2)x^(2))

If (logx)/(y-z)=(logy)/(z-x)=(logz)/(x-y) show that x^(x)y^(y)z^(z)=1

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)

If cos^(-1)x+cos^(-1)y+cos^(-1)z=pi and x+y+z=(3)/(2) , then show that, x=y=z.

If (x+y+z)(y+z-x)(z+x-y)(x+y-z) prop x^2y^2 then show that either x^2+y^2= z^2 or x^2+y^2-z^2 prop xy .

If tan^(2)z= tan (x+y) tan (x-y) , show that cot^(2)y+ cot (z+x) cot (z-x)=0

If z=x+iy and |z-1|+|z+1|=4, "show that" 3x^(2)+4y^(2)=12 (i=sqrt(-1)).