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JEE Main practice questions

NTA-style Physics, Chemistry and Maths MCQs with solutions. 2,688 questions in the bank.

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  1. 1The positive integral value of n such that 1·21 + 2·22 + 3·23 + 4·24 +...........+ n·2n = 2 + 2n+5, isMathematics
  2. 2The radius of the circle whose two normals are represented by the equation x2 - 5xy - 5x + 25y = 0 and which touches externally the circle…Mathematics
  3. 3[IMAGE] where a, b ∈ N then (a + b) equalsMathematics· figure
  4. 4A circle is drawn to pass through the extremities of the latus rectum of the parabola y2 = 20x. It is given that this circle also touches…Mathematics· figure
  5. 5If the 6th term in the expansion of the binomial [IMAGE] is 5600, then x equals toMathematics· figure
  6. 6The contrapositive of "If two triangles are equiangular, then they are similar" isMathematics
  7. 7If a, b > 0 and [IMAGE] then the value of (ab) isMathematics· figure
  8. 8A triangle ABC has the feature, [IMAGE] thenMathematics· figure
  9. 9Two urns A and B contain marbles. Urn A holds 12 black marbles and 4 white marbles. Urn B contains 6 black marbles and 5 white marbles. A…Mathematics· figure
  10. 10y = f (x) is a function which satisfies (i) f (0) = 0 (ii) f (x) and (iii) f '(0) = 1 then the area bounded by the graph of y = f (x), the…Mathematics· figure
  11. 11Position vectors of four points P, Q, R and S are [IMAGE] and [IMAGE] respectively. Volume of the parallelopiped whose 3 coterminous edges…Mathematics· figure
  12. 12A man standing on a level plane oberves the elevation of the top of a pole to be θ. He then walks a distance equal to double the height of…Mathematics· figure
  13. 13If one of the diameters of the circle, given by the equation, x2 + y2 - 4x + 6y - 12 = 0 is chord of a circle S, whose centre is at (-3,…Mathematics· figure
  14. 14Consider the function [IMAGE]. Then point of discontinuities of f(x) for [IMAGE] areMathematics· figure
  15. 15Let y be an implicit function of x definedMathematics· figure
  16. 16The two curves x = y2 and xy = a3 cut orthogonally, then a2 is equal toMathematics· figure
  17. 17The value of [IMAGE] isMathematics· figure
  18. 18Two mutually perpendicular straight lines through the origin from an isosceles triangle with the line2x + y = 5. Then the area of the…Mathematics
  19. 19In a ∆ABC, tan A + tan B + tan C = 6 and tan A tan B = 2 then the value of [IMAGE] = ?Mathematics· figure
  20. 20The relation R = on the set A = isMathematics
  21. 2149^n + 16n - 1 is divisible byMathematics
  22. 22If x > - 1, then the statement (1 + x)^n > 1 + nx is true forMathematics
  23. 23The area bounded by the circle x2 + y2 = 4 and the line [IMAGE] in the first quadrant (in sq. units) isMathematics· figure
  24. 24has four choicesMathematics
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