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If the ecentricity of the hyperbola (x^...

If the ecentricity of the hyperbola `(x^(2))/(a^(2)) -(y^(2))/(b^(2))=1 is 5/4 and 2x+3y - 6 = 0 ` is focal chord of the hyperbola , then the length of tranverse axis is equal to _______.

A

44328

B

44340

C

44322

D

45413

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The correct Answer is:
B
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HIMALAYA PUBLICATION-COMMON ENTRANCE TEST -2015-QUESTION BANK
  1. ~ [(~p) ^^q] is logically equivalent to

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  2. The value of sin^(-1) ((2 sqrt2)/(3)) + sin^(-1) ((1)/(3)) is equal to

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  3. If the ecentricity of the hyperbola (x^(2))/(a^(2)) -(y^(2))/(b^(2))=...

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  4. If vec(a) = hat(i) + 2hat(j) +2hat(k) , |vec(b)| = 5 and the angle ...

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  5. If vec(a)=i-2 j + 3k, vec(b) is a vector such that vec(a).vec(b)= |vec...

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  6. If direction cosines of a vector of magnitude 3 are 2/3 , - 9/3 , 2/3...

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  7. Equation of line passing through the point (2,3,1) and parallel to...

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  8. Foot of perpendicular drawn from the origin to the plane 2x-3y +4z = ...

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  9. If two dice are thrown simultaneously , then the probability that the ...

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  10. If y = f(x^(2)) and f'(3) = 5 then (dy)/(dx) at x = 1 is

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  11. If x= a cos^(3) theta, y= a sin^(3) theta, then 1 + ((dy)/(dx))^(2) is

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  12. Slope of normal to the curve y = x^(2) - 1/(x^(2)) at (-1,0) is

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  13. int 1/(x^(2)(x^(4)+1)^(3//4)) dx is equal to .

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  14. If f : R to R is defined by f(x) = x/(x^(2)+1) find f(f(2)) .

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  15. Evalute |(cos 15^(@) sin 15^(@)),(sin 75^(@) cos 75^(@))|

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  16. A man takes a step forward with probability 0.4 and one step backward ...

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  17. int(0)^(pi//4)log ((sin x +cos x )/(cosx))dx is equal to

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  18. Area bounded by y = x^(3) ,y = 8 and x = 0 is .

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  19. Let vec(a) =hat(i) +2hat(j) +hat(k),vec(b) =hat(i) -hat(j) +hat(k) and...

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  20. The mean devision from the data 3,10,10,4 ,7,10,5 is

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