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If the sum of first n terms of an A P is...

If the sum of first `n` terms of an `A P` is `c n^2,` then the sum of squares of these `n` terms is (2009) `(n(4n^2-1)c^2)/6` (b) `(n(4n^2+1)c^2)/3` `(n(4n^2-1)c^2)/3` (d) `(n(4n^2+1)c^2)/6`

A

`n(4n^2-1)c^2/6`

B

`n(4n^2+1)c^2/3`

C

`n(4n^2-1)c^2/3`

D

`n(4n^2+1)c^2/6`

Text Solution

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A DAS GUPTA-Objective Tests-Exercise
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  2. The number of seven digit integers, with sum of the digits equal to 10...

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  3. Let z=x+i y be a complex number where xa n dy are integers. Then, the ...

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  4. Let z=costheta+isintheta. Then the value of sum(m->1-15)Img(z^(2m-1...

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  5. The locus of the orthocentre of the triangle formed by the lines (1+p)...

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  6. Tangents drawn from the point P(1, 8) to the circle x^2+ y^2-6x-4y-11=...

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  7. The normal at a point P on the ellipse x^2+4y^2=16 meets the x-axis at...

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  8. The line passing through the extremity A of the major exis and extremi...

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  9. 36. If vec a, vec b,vec c and vec d are unit vectors such that (vec a ...

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  10. A line with positive direction cosines passes through the point P(2, –...

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  11. If P (3,2,6) is a point in space and Q be a point on the line vecr = (...

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  12. Let f be a non-negative function defined on the interval [0,1]dot If i...

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  13. यदि (sin^(4)x)/2 + (cos^(4)x)/3 = 1/5 ,तब

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  14. for 0ltthetaltpi/2 the solution(s) of sum(m=1)^6c o s e c(theta+((m-...

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  15. In a triangle ABC with fixed base BC, the vertex A moves such that cos...

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  16. The tangent PT and the normal PN to the parabola y^2=4ax at a point P...

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  17. An ellipse intersects the hyperbola 2x^(2)-2y^(2)=1 orthogonally. The ...

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  18. Let L = lim(x rarr 0) ( a - sqrt( a^2 - x^2) - x^2/4)/x^4, a>0.If L is...

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  19. For the function f(x)=x "cos" 1/x, x ge1

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  20. If In=int(-pi)^(pi) \ (sinnx)/((1+pi^x) \ sinx) \ dx, n=0,1,2,...... t...

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