Practice/Question bank/JEE Main

JEE Main practice questions

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

All subjectsMathematicsBiologyPhysicsChemistry
  1. 1Let f(x) = sgn (x2 - 4 | x | + k). If f(x) is discontinuous at exactly four points, then the range of k isMathematics· figure
  2. 2If the locus of the centre of the variable circle which intersects the circles x2 + y2 = 4 and x2 + y2 + 2x + 4y = 6 orthogonally has the…Mathematics· figure
  3. 3Let y2x [IMAGE] - x + 1 = 0. If yMathematics· figure
  4. 4Number of critical points of the function, f(x) = [IMAGE] dt which lie in the interval [− 2π, 2π] isMathematics· figure
  5. 5If the mean deviation of numbers 1, 1 + k, 1 + 2k, 1 + 3k,............, 1 + 100k (k > 0) about their mean is 255, then k is equal toMathematics· figure
  6. 6If the roots of the quadratic equation x2 + 6x + b = 0 are real and distinct and they differ by atmost 4 then the range of values of b isMathematics
  7. 7The value of expression: tan-1[IMAGE] +Mathematics· figure
  8. 8If | Z - i | ≤ 2 and Z1 = 5 + 3i, then the maximum value of | iZ + Z1 | isMathematics· figure
  9. 9Let the line L1: [IMAGE] and L2: [IMAGE] intersect at P. The least distance of P from the plane 3x - 4y - 12z + 4 = 0, equalsMathematics· figure
  10. 10A common tangent to the conics x2 = 6y and 2x2 - 4y2 = 9, isMathematics· figure
  11. 11A student guesses of each of 30 true/false questions. The chance that he gets at least 15 correct, isMathematics· figure
  12. 12The number of points of local maximum and local minimum of the function [IMAGE] are respectivelyMathematics· figure
  13. 13has four choicesMathematics
  14. 14The positive integral value of n such that 1·21 + 2·22 + 3·23 + 4·24 +...........+ n·2n = 2 + 2n+5, isMathematics
  15. 15The radius of the circle whose two normals are represented by the equation x2 - 5xy - 5x + 25y = 0 and which touches externally the circle…Mathematics
  16. 16[IMAGE] where a, b ∈ N then (a + b) equalsMathematics· figure
  17. 17A 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
  18. 18If the 6th term in the expansion of the binomial [IMAGE] is 5600, then x equals toMathematics· figure
  19. 19The contrapositive of "If two triangles are equiangular, then they are similar" isMathematics
  20. 20If a, b > 0 and [IMAGE] then the value of (ab) isMathematics· figure
  21. 21A triangle ABC has the feature, [IMAGE] thenMathematics· figure
  22. 22Two 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
  23. 23y = 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
  24. 24Position vectors of four points P, Q, R and S are [IMAGE] and [IMAGE] respectively. Volume of the parallelopiped whose 3 coterminous edges…Mathematics· figure
Next page