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Let pa n dq be the roots of the equation...

Let `pa n dq` be the roots of the equation `x^2-2x+A=0` and let `ra n ds` be the roots of the equation `x^2-18 x+B=0.` If `p< q< r< s` are in arithmetic progression, then `A=` and `B=...` (1997, 2M)

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VMC MODULES ENGLISH-SEQUENCE AND SERIES -JEE MAIN & Advance ( ARCHIVE)
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  2. Sum of the first n terms of the series 1/2+3/4+7/8+(15)/(16)+............

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  3. Let S(1),S(2),"…." be squares such that for each n ge 1, the length o...

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  4. Let a1,a2,a3,... be in harmonic progression with a1=5a n da(20)=25. Th...

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  5. Let the positive numbers a ,b ,ca d nd be in the A.P. Then a b c ,a b ...

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  6. If m is the A.M of two distict real numbers l and n (l, n gt 1)and G1,...

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  7. The sum of first 9 terms of the series (1^(3))/(1)+(1^(3)+2^(3))/(1+3)...

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  8. If alpha in (0,pi/2),t h e nsqrt(x^2+x)+(tan^2alpha)/(sqrt(x^2+x)) is ...

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  9. If a1,a2,a3,....an are positive real numbers whose product is a fixed ...

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  10. If a ,b ,c ,d are positive real umbers such that a=b+c+d=2,t h e nM=(a...

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  11. The harmonic mean of the roots of the equation (5+sqrt(2))x^2-(4+sqrt(...

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  12. A pack contains n cards numbered from 1 to n . Two consecutive numbere...

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  13. Let a1, a2, a3, ,a(100) be an arithmetic progression with a1=3a n dsp...

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  14. Let (a1,a2,a3….,a11) be real numbers satsfying a1=15,27-2a2 gt 0 and ...

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  15. about to only mathematics

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  16. Let Sk ,k=1,2, ,100 , denotes thesum of the infinite geometric series ...

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  17. Let x be the arithmetic mean and y ,z be tow geometric means between a...

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  18. Let the harmonic mean and geometric mean of two positive numbers be in...

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  19. The minimum value of the sum of real numbers a^-5, a^-4, 3a^-3, 1,a^8 ...

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  20. Let pa n dq be the roots of the equation x^2-2x+A=0 and let ra n ds be...

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