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The minimum aumber of elements that must...

The minimum aumber of elements that must be added to the relation `R={(a,b),(b,c),(b,d)}` on the set `{a,b,c,d}` so that it is an equivalence relation,is

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JEE MAINS PREVIOUS YEAR-JEE MAINS 2023 JAN ACTUAL PAPER-Question
  1. The equations of the sides AB,BC and CA of a triangle ABC are :2x+y=0,...

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  2. Three ums A,B and C contain + red, 6 black. 5 black and lambda red, 4 ...

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  3. The minimum aumber of elements that must be added to the relation R={(...

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  4. Let vec a=hat i+2hat j+lambdahat k,vec b=3hat i-5hat j-2hat k,vec a*ve...

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  5. Let the sum of the coefficients of the first three terms in the expans...

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  6. If the area of the region bounded by the curves y^(2)-2y=-x,x+y=0 is A...

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  7. 9If the shortest between the lines (x+sqrt(6))/(2)=(y-sqrt(6))/(3)=(z-...

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  8. Let S={theta in[0,2 pi):tan(pi cos theta)+tan(pi sin theta)=0}. Then s...

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  9. Let y = y(x) be the solution of the differential equation x^3dy + (xy ...

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  10. The area enclosed by the curves y^2+ 4x = 4 and y – 2x = 2 is:

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  11. Let Ω be the sample space and A ⊆ Ω be an event.Given below are two st...

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  12. The value of sum(r=0)^22 "^(22)Cr "^23Cr is

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  13. Let alpha be a root of the equation (a – c) x^2 + (b – a) x + (c – b) ...

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  14. lim(trarr0)(1^(1/sin^2t)+2^(1/sin^2t)+..n^(1/sin^2t))^(sin^2t)

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  15. The distance of the point (–1, 9,–16) from the plane 2x + 3y – z = 5 m...

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  16. Let N denote the number that turns up then a fair die is rolled. If th...

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  17. Let f (x)={(x^2sin(1/x),x!=0,),(0,x=0,):} then at x = 0

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  18. Let PQR be a triangle. The point A,B and C are on the sides QR, RP and...

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  19. For the positive integers p,q ,r,x^(pq^2)=y^(qr)=z^(p^2r) and r = pq+1...

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  20. tan^(-1)((1+sqrt3)/(3+sqrt3))+sec^-1(sqrt((8+4sqrt3)/(6+3sqrt3))) is e...

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