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If 64,27, 36 are the p^(th) , Q^(th) and...

If 64,27, 36 are the `p^(th) , Q^(th) and R^(th)` terms of a G.P. then P+2Q is equal to

A

R

B

2R

C

3R

D

4R

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If 64, 27 , 36 are the Pth , Qth and Rth terms of a G.P., then P + 2Q is equal to

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If the pth, qth and rth terms of a G.P. are again in G.P., then p, q, r are in

Show that the sum of (m + n)^(th) and (m – n)^(th) terms of an A.P. is equal to twice the m^(th) term.

The 5^(th), 8^(th) and 11^(th) terms of a G.P are p,q and s , respectively . Show that q^2 =ps .

The p^(th), q^(th) and r^(th) terms of an A.P. are a, b, c, respectively. Show that (q-r) a+(r-p) b+(p-q)c = 0

If a,b,c are all positive and are p-th,q-thand r-th terms of a G.P ., then show that |{:(loga,p,1),(logb,q,1),(logc,r,1):}|=0 .

If a, b, c are respectively the p-th, q-th, r-th terms of an A.P. then the value of |(a,p,1),(b,q,1),(c,r,1)| is -

WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2012-MULTIPLE CHOICE QUESTIONS
  1. The sum of the infinite series 1+(1)/(3)+(1.3)/(3.6)+(1.3.5)/(3.6.9)+(...

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  2. The equation x^(2)+x+a=0 and x^(2)+ax+1=0 have a common real root

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  3. If 64,27, 36 are the p^(th) , Q^(th) and R^(th) terms of a G.P. then P...

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  4. If sin^(-1)x+sin^(-1)y+sin^(-1)z=(3pi)/(2), then the value of x^(9)+y^...

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  5. Let p,q,r be the sides opposite to the angles P,Q, R respectively in a...

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  6. Let p,q,r be the sides opposite to the angles P,Q, R respectively in a...

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  7. Let P (2,-3), Q(-2, 1) be the vertices of the triangle PQR. If the cen...

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  8. lim(x to 0) (pi^(x)-1)/(sqrt(1+x)-1)

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  9. If f is a real- valued differentiable function such that f(x)f'(x) lt ...

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  10. Rolle's theorem is applicable in the interval [-2,] for the function

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  11. The solution of 25(d^(2)y)/(dx^(2))-10(dy)/(dx)+y=0, y(0)=1, y(1)=2e^(...

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  12. Let P be the midpoint of a chord joining the vertex of the parabola y^...

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  13. The line x=2y intersects the ellipse (x^(2))/(4)+y^(2)=1 at the points...

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  14. The eccentric angle in the first quadrant of a point on the ellipse (x...

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  15. The transverse axis of hyperbola is along the x-axis and its length is...

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  16. A point moves in such a way that the difference of its distance from t...

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  17. The number of integer values of m, for which the x-coordinates of the ...

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  18. If a straight line passes through the point (alpha, beta) and the port...

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  19. The coefficient of x^(10) in the expansion of 1+(1+x)+...+(1+x)^(20) i...

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  20. Examine the consistency of the system of equations x+ y +z=1 2x+...

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