If x^2+9y^2+25 z^2=x y z((15)/x+5/y+3/z)...

If `x^2+9y^2+25 z^2=x y z((15)/x+5/y+3/z),` then `x ,y ,a n dz` are in a. H.P. b. A.P. c. G.P. d. None of These

Text Solution

AI Generated Solution

Topper's Solved these Questions

RELATIONS AND FUNCTIONS
CENGAGE ENGLISH|Exercise All Questions|9 Videos
STRAIGHT LINES
CENGAGE ENGLISH|Exercise All Questions|491 Videos

Similar Questions

Explore conceptually related problems

If x^2+9y^2+25 z^2=x y z((15)/x+5/y+3/z),t h e n x ,y ,a n dz are in H.P. b. 1/x ,1/y ,1/z are in A.P. c. x ,y ,z are in G.P. d. 1/a+1/d=1/b=1/c

If x ,y ,z are real and 4x^2+9y^2+16 z^2-6x y-12 y z-8z x=0,t h e nx , y,z are in a. A.P. b. G.P. c. H.P. d. none of these

If the lines a x+2y+1=0,b x+3y+1=0a n dc x+4y+1=0 are concurrent, then a ,b ,c are a. A.P. b. G.P. c. H.P. d. none of these

If the lines a x+2y+1=0,b x+3y+1=0a n dc x+4y+1=0 are concurrent, then a ,b ,c are in (a). A.P. (b). G.P. (c). H.P. (d). none of these

If sin(y+z-x),sin(z+x-y),"sin"(x+y-z) are in A.P., then t a n x ,tany ,tanz are in (a)A.P. (b) G.P. (c) H.P. (d) none of these

If a ,b ,c are in G.P. and a^(1//x)=b^(1//y)=c^(1//z), then x y z are in AP (b) GP (c) HP (d) none of these

If a,b,c are proper fractiion are in H.P. and x sum_(n=1)^oo a^n, y=sum_(n=1)^oo b^n, z= sum_(n=1)^oo c^n then x,y,z are in (A) A.P. (B) G.P. (C) H.P. (D) none of these

If x ,y ,a n dz are distinct prime numbers, then (a). x , y , a n dz may be in A.P. but not in G.P. (b) x , y , a n dz may be in G.P. but not in A.P. (c). x , y , a n dz can neither be in A.P. nor in G.P. (d).none of these

If normals at two points A(x_1, y_1) and B(x_2, y_2) of the parabola y^2 = 4ax , intersect on the parabola, then y_1, 2sqrt(2)a, y_2 are in (A) A.P. (B) G.P. (C) H.P. (D) none of these

CENGAGE ENGLISH-SEQUENCES AND SERIES-All Questions

Let a1, a2, a3, ,a(11) be real numbers satisfying a1=15 , 27-2a2>0 a ...
Text Solution
|
Statement 1: Coefficient of x^(14) in (1+2x+3x^2+....+16 x^(15))^2 is ...
Text Solution
|
If x^2+9y^2+25 z^2=x y z((15)/x+5/y+3/z), then x ,y ,a n dz are in a...
Text Solution
|
Statement 1: x=1111....1 of 91 times of is a composite number.
Text Solution
|
Statement 1: If an infinite G.P. has 2nd term x and its sum is 4, then...
Text Solution
|
Statement 1: Sum of the series 1^3-2^3+3^3-4^3++11^3=378. - Statement ...
Text Solution
|
Statement 1: 1^(99)+2^(99)++100^(99) is divisible by 10100. Statement ...
Text Solution
|
Let p1,p2,...,pn and x be distinct real number such that (sum(r=1)^(n...
Text Solution
|
If Sn denote the sum of first n terms of an A.P. whose first term is a...
Text Solution
|
If a1, a2, a3, be terms of an A.P. and (a1+a2+.....+ap)/(a1+a2+.....+...
Text Solution
|
Consider an A.P. a1, a2, a3,......... such that a3+a5+a8=11 and a4+a2...
Text Solution
|
If the sum of n terms of an A.P is cn (n-1) where c ne 0 then find the...
Text Solution
|
If |a|<1a n d|b|<1, then the sum of the series 1+(1+a)b+(1+a+a^2)b^2+(...
Text Solution
|
Let n in N ,n > 25. Let A ,G ,H deonote te arithmetic mean, geometric...
Text Solution
|
If a1, a2, a3(a1>0) are three successive terms of a G.P. with common r...
Text Solution
|
Three numbers form an increasing G.P. If the middle number is doubled,...
Text Solution
|
If S1,S2, S3, Sm are the sums of n terms of m A.P. ' s whose first ter...
Text Solution
|
If S1,S2 and S3 be respectively the sum of n, 2n and 3n terms of a G.P...
Text Solution
|
In a sequence of (4n+1) terms, the first (2n+1) terms are n A.P. whose...
Text Solution
|
If (p+q)t h term of a G.P. is a and its (p-q)t h term is b where a ,b ...
Text Solution
|