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Let R={((a,3,b),(c,2,d),(0,5,0)):a,b,c,d...

Let `R={((a,3,b),(c,2,d),(0,5,0)):a,b,c,d in {0,3,5,7,11,13,17,19}}`. Then the number of invertible matrices in R is

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JEE ADVANCED PREVIOUS YEAR-JEE ADVANCED 2023-Question
  1. Consider the given data with frequency distribution {(xi,3,8,11,10,5...

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  2. Let l1 and l2 be the lines vec r1= gamma (hati+ hatj +hat k ) and vecr...

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  3. Let z be a complex number satisfying |z|^3 +2z^2 +4barz -8 =0 , where ...

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  4. Let f:[1,oo) to RR be a differentiable function such that f(1)=1/3 and...

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  5. Consider an experiment of tossing a coin repeatedly until the outcomes...

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  6. For any y in RR , let cot^-1(y) in (0,pi) and tan^-1(y) in (-pi/2,pi/2...

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  7. Let the position vectors of the points P ,Q, R and S be veca=hati +2ha...

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  8. Let M = (a(ij)) , i , j in {1,2,3}, be the 3 xx 3 matrix such that a(i...

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  9. Let f:(0,1) to RR be the function defined as f(x)=[4x](x-1/4)^2(x-1/2)...

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  10. Let S be the set of all twice differentiable functions f from RR to RR...

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  11. For x in RR let tan^-1(x) in (-pi/2 ,pi/2). Then the minimum value of ...

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  12. For x in RR, let y(x) be a solution of the differential equation (x^2...

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  13. Let X be the set of all five digit numbers formed using 1,2,2,2,4,4,0....

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  14. Let A1, A2, A3, . . . ,A8 be the vertices of a regular octagon that li...

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  15. Let R={((a,3,b),(c,2,d),(0,5,0)):a,b,c,d in {0,3,5,7,11,13,17,19}}. Th...

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  16. Let C1 be the circle of radius 1 with center at the origin. Let C2 be ...

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  17. Consider an obtuse angled triangle ABC in which the difference between...

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  18. Consider an obtuse angled triangle ABC in which the difference between...

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  19. Consider the 6 xx 6 square in the figure. Let A1,A2, . . .,A(49) be th...

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  20. Consider the 6 xx 6 square in the figure. Let A1,A2, . . .,A(49) be th...

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