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A point moves in the X-Y plne such that ...

A point moves in the X-Y plne such that the sum of its distance form two mutally perpendicular lines is always equal to 3. The area (in square unit) enclosed by the locus of the point is

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NTA MOCK TESTS-NTA TPC JEE MAIN TEST 53-MATHEMATICS
  1. The value of [ vecA-vecB, vecB- vecC ,vecC- vecA] where |vecA|\ = 1,...

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  2. If x = int (0) ^(y) (dt)/( sqrt (1 + t ^(2))), then (d ^(2) y)/(dx ^(2...

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  3. Let f (x) = (x - { x + 1})/( x - {x +2}) , where {x} is the fractional...

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  4. lim ( n to o) n { (1)/( (n +1) ( n +2) ) + (1)/( ( n +2) ( +4)) + (1)...

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  5. If the tangent to the curve y = e ^( kx) at M (0,1) meet the x-axis at...

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  6. The value of int (cot x )/( sqrt ( 5 + 9 cot ^(2) x )) dx is equal to ...

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  7. The value of cot ^(4) ""(pi)/(16)- 4 cot ^(3) ""(pi)/(16) - 6 cot ^...

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  8. If theta (1), theta (2), theta (3)in [0, 3pi], then the number of orde...

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  9. The x satisfying sin ^(-1) x + sin ^(-1) (1 -x ) = cos ^(-1) x are

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  10. Which of the following is a contradiction ?

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  11. The postivie integer which is just greater than (1 + 0.001 ) ^(1000) i...

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  12. The number of integers in the range of 'a' for which roots of x ^(2) -...

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  13. Let u,v,w be three real numbers in geometric progression such that u g...

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  14. If lines (x-1)/(2) = (y -2)/(x (1)) = (z -3)/(x (2)) and (x -2)/( 3) =...

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  15. Let f (x) = {{:(x -1"," , x lt 0),(x ^(2)- 2x "," , x ge 0):}and h (x)...

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  16. If (hati + hatj + 3 hatk) x + ( 3 hati - 3 hatj + hatk) y + ( - 4 hati...

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  17. Total number of solutions of log (5) ( x ^(2) - 4x + 3) = log (5) ( ...

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  18. In a group of 6 people, each person sends an email and receives an ema...

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  19. The weighted means of first 7 natural numbers whose weights are equal ...

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  20. A point moves in the X-Y plne such that the sum of its distance form t...

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