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If x ,y ,z are real and 4x^2+9y^2+16 z^2...

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

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FIITJEE-PROGRESSION & SERIES -ASSIGNMENT PROBLEMS (OBJECTIVE) LEVEL-I
  1. If a, b and c are positive real numbers then a/b+b/c+c/a is greater t...

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  2. If a, b, c are positive real numbers, then the least value of (a+b+c)(...

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  3. 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 ,...

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  4. If the sides of a right-angled triangle are in A.P., then the sines of...

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  5. If a ,b ,c ,da n dp are distinct real numbers such that (a^2+b^2+c^2)p...

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  6. Product of a G.P whose 1^(st)and last term are a and b is P. If two ...

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  7. If t(r) = (r+2)/(r(r+)). 1/(2^(r+1)) then sum(r=1)^(n) is equal to

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  8. sum(i=1)^(n) sum(i=1)^(n) i is equal to

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  9. If 1/a+1/(a-2b)+1/c+1/(c-2b)=0 and a,b,c are not in A.P., then

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  10. If the length of sides of right angled triangle are in AP, then their...

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  11. a, b, c are positive integers formaing an incresing G.P. and b-a is a ...

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  12. If the sum of an infinite G.P and the sum of the squares of its terms...

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  13. Sum of infinite series 1/(1*4)+1/(4*7)+1/(7*10)+......oo is

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  14. The sequence a1,a2,a3,a4..... satisfies a1 =1, a2 =2 and a(n+2) = 2/a(...

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  15. If (a^n+b^n)/(a^(n-1)+b^(n-1))is the A.M. between a and b, then find t...

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  16. If x(1),x(2),….x(20) are in H.P then x(1)x(2)+x(2)x(3)+….+x(19)x(20)=

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  17. If a,b,c are three positive real numbers then the minimum value of the...

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  18. If a ,b ,c are different positive real numbers such that b+c-a ,c+a-b ...

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  19. n/((n+1)!)+((n+1))/((n+2)!)+......+((n+p))/((n+p+1)!) is equal to .

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  20. The sum of two numbers is (13)/6dot An even number of arithmetic means...

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