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If x^2/a^2+y^2/b^2=1 satisfies (4sqrt(2/...

If `x^2/a^2+y^2/b^2=1` satisfies `(4sqrt(2/5),3) and e=1/4` then, `a^2+b^2` is equal to

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JEE MAINS PREVIOUS YEAR-JEE MAIN 2022-Question
  1. The remainder of (2021)^(2022)+(2022)^(2021) when divided by 7 is

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  2. Let R1 and R2 be two relation defined on R by aR1 b:ab ge 0 and aR2b h...

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  3. If x^2/a^2+y^2/b^2=1 satisfies (4sqrt(2/5),3) and e=1/4 then, a^2+b^2 ...

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  4. Cos ((2pi)/7) + cos ((4pi)/7) + cos ((6pi)/7) =

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  5. If lim(x to 7) (18-[1-x])/([x]-3a) exist, then a is equal to

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  6. abs((14,28,-14),(-14,14,28),(28,-14,14))=abs(adj(adj(A))), then abs(A)...

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  7. The number of points where tangents are vertical or horizontal to curv...

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  8. If two curves y=y1(x) and y=y2(x) satisfies differential equation dy/d...

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  9. Number of all 3xx3 matrices formed by {1,-1,0} such that "Trace"(A A^T...

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  10. If the coefficient of x^10 in (sqrtx/5^(1/4)+sqrt5/(x^(1/3)))^100 is 5...

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  11. Let S={z in C:z^2+barz=0}, then sum(zinS) (Re(z)+Im(z)) is equal to

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  12. The mean and variance of 10 observation are 15 & 15 respectively . If ...

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  13. Let f(x)={(int0^x (5-abs(t-3))dt,x gt 4) ,(x^2+bx,xle4):} and f(x) is ...

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  14. A person standing at a point on ground can see a point on a tower h me...

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  15. Value of (2^3-1^3)/(1xx7)+(4^3-3^3+2^3-1^3)/(2xx11)+(6^3-5^3+4^3-3^3+2...

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  16. int0^2(abs(2x^2-3x)+[x-1/2])dx , where [.]=GIF , is equal to

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  17. If f(x)=sin^-1[2x^2-3]+log2(log(1/2)(x^2-5x+5)) where [.] is GIF then ...

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  18. If T is a common tangent to the curve C1:x^2/4+y^2/9=1 , C2:x^2/42-y^2...

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  19. If the length of the latus rectum of a parabola where focus is (a,a) a...

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  20. If sum of infinite G.P whose first ter is a common ratio r is 5 and su...

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