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The sum 1^(2)-2.3^(2)+3.5^(2)-4.7^(2)+5....

The sum `1^(2)-2.3^(2)+3.5^(2)-4.7^(2)+5.9^(2)- . . . +15.29^(2)` is

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JEE MAINS PREVIOUS YEAR-JEE MAINS 2023 JAN ACTUAL PAPER-Question
  1. Let the area of the region {(x,y):abs(2x-1)leyleabs(x^(2)-x),0lexle1} ...

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  2. Let A be a n times n matrix such that abs(A)=2.If the determinant of t...

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  3. The sum 1^(2)-2.3^(2)+3.5^(2)-4.7^(2)+5.9^(2)- . . . +15.29^(2) is

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  4. If "^(2n+1)P(n-1):^(2n-1)P(n)=11:21,then n^(2)+n+15 is equal to :

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  5. Let S be the set of all a in N such that the area of the triangle form...

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  6. Let the tangents at the points A(4,-11) and B(8,-5) on the circle x^(2...

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  7. Three rotten apples are mixed accidently with seven good apples and fo...

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  8. Let A={(x,y)in R^(2):yge0,2xleylesqrt(4-(x-1)^(2)}) and B={(x,y)in R t...

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  9. Let lambda != 0 be a real number.Let alpha,beta be the roots of the eq...

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  10. Let y=f(x) be the solution of the differential equation y(x+1)dx-x^(2)...

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  11. Let [x] denote the greatest integer lex.Consider the function f(x)=max...

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  12. Let Delta be the area of the region {(x,y)in R^(2):x^(2)+y^(2)le21,y^(...

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  13. Let x=2 be a root of the equation x^(2)+px+q=0 and f(x)={((1-cos(x^(2)...

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  14. A light ray emits from the origin making an angle 30^(@) with the posi...

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  15. Let B and C be the two points on the line y+x=0 such that B and C are ...

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  16. .If p,q and r are three propositions,then which of the following combi...

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  17. Consider the following system of equations alpha x+2y+z=1 2 alpha x+...

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  18. Let f(theta)=3(sin^(4)((3 pi)/(2)-theta)+sin^(4)(3 pi+theta)-2(1-sin^(...

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  19. For two non-zero complex numbers z(1) and z(2),if Re(z(1)z(2))=0 and R...

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  20. Let alpha and beta be real numbers.Consider a 3xx3 matrix A such that ...

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