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If 4th,7th nd 10th term of G.P are x, y ...

If 4th,7th nd 10th term of G.P are x, y and z, then

A

a)y, x, z are in G.P.

B

b)z, y, x are in GP

C

c)x, y, z are in GP

D

d)x, y, z are in AP.

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If the 4th, 10th and 16th terms of a G.P. are x, y and z, respectively. Prove that x, y, z are in GP.

If the p^(th) , q^(th) and r^(th) terms of a G.P. are x , y , z respectively. then show that : x^(q-r) . y^(r-p).z^(p-q)=1

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

Compute the 100th term of HP if the 10th and 20th term of HP are 20 and 40 respectively.

If the p^("th"), q^("th") and r^("th") terms of a G.P. are a, b and c, respectively. Prove that a^(q – r) b^(r-p) c^(P - q) = 1.

The 5th and 13th term of an A.P are 5 and -3 respectively. Find the A.P and the 30th term.

If p^th , q^th and r^th terms of a G.P. be a, b, c(a,b,c>0) , prove that (q-r) log a +(r-p) logb +(p-q) logic=0.

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The ratio of the 11th and 14th terms of an A.P. is 7:9, find the ratio of the 10th term to 3rd term of the series.

The sum of the 4th and 8th terms of an AP is 24 and the sum of the 6th and 10th terms is 44. Find the first three terms of the AP.

UNITED BOOK HOUSE-MODEL QUESTION PAPERS-SET 4-EXERCISE
  1. The number of real solution of x^2-3|x|+2=0 are

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  2. Z is a complex number and Z.barZ=0, it is true only when

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  3. If 4th,7th nd 10th term of G.P are x, y and z, then

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  4. The co-ordinate of the foot of the perpendicular from the point (4, 3,...

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  5. The equation of the circle passes through the point (0, 4), (0, 0) and...

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  6. The value oflim(xrarr0)(1-cos4x)/x^2is

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  7. If f(2) = 2, and f'(2) = 1, then the value of lim(xrarr2)(xf(2)-2f(x))...

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  8. Three unbiased dice are thrown at a time. The probability of getting t...

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  9. If the variance of a distribution is 4 coefficient of variation is 5%,...

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  10. If n(X) = 4 and n(Y) = 8. Find the maximum and minimum numbers of.elem...

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  11. If A = {(a, b) : a + 3b = 12, a, bin N}, find the range of A.

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  12. Show that cos^6theta+sin^6theta=1/8(5+3cos4theta)

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  13. If n be an integer, then find the value of tan{(npi)/(2)+(-1)^(n).(pi...

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  14. If (1 + i) (2 +i) (3 + i)…..(n+i)=a+ib ,show that 2.5.10….(n^2+1)=a^2+...

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  15. If n is a even number, find the sum of the series upto n terms1^2-2^2+...

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  16. How many 5 digits telephone number can be formed from the digits from ...

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  17. Find the value of 3^2/3. 3^2/9. 3^2/27…..

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  18. If the gradiant of the line joining the points (2a, -2) and (1, -a)...

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  19. Find the ratio in which the plane 2x+3y+5z=1 divides the line segment ...

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  20. Evaluate:lim(xrarr0)sinx/x

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