Category: JEE-M-PYQ

  • Indefinite Integration-JEE-Mains-PYQ’s

    Mathematics Questions Let , be such that . If , where , then is equal to: (A) -5 (B) -11 (C) -18 (D) -26 Click to View Answer Correct Answer: [ ] If , where is the constant of integration, then is equal to: (A) (B) (C) (D) Click to View Answer Correct Answer: […

  • Definite Integration-JEE-Mains-PYQ’s

    Mathematics Questions Let denote the greatest integer function. Then is equal to : (A) (B) (C) (D) Click to View Answer Correct Answer: [ ] Let be a polynomial function such that , for all . Then is equal to (A) (B) (C) (D) Click to View Answer Correct Answer: [ ] The value of…

  • Vector Algebra-JEE-Mains-PYQ’s

    Mathematics Questions Let and . Let the projection of the vector on the diagonal of the parallelogram be of length one unit. If , where , be the roots of the equation , then is equal to (A) 3 (B) 6 (C) 4 (D) 1 Click to View Answer Correct Answer: [ ] For a…

  • 3D Geometry-JEE-Mains-PYQ’s

    Mathematics Questions Let be the image of the point in the line . Then the distance of from the line is (A) 8 (B) 7 (C) 6 (D) 5 Click to View Answer Correct Answer: [ ] If the distances of the point from the line along the lines and are equal, then is equal…

  • Probability-JEE-Mains-PYQ’s

    Mathematics Questions If and are two events such that , and , where denotes the complement of , then is equal to: (A) (B) (C) (D) Click to View Answer Correct Answer: [ ] A bag contains 19 unbiased coins and one coin with head on both sides. One coin drawn at random is tossed…

  • Matrices and Determinants-JEE-Main-PYQ’s

    Mathematics Questions Let and be three matrices with real entries such that and . If and , then is (A) 4 (B) 2 (C) 0 (D) -2 Click to View Answer Correct Answer: [ ] Let and be two square matrices of order 3 such that and . Then the value of is: (A) 81…

  • Functions-JEE-Mains-PYQ’s

    Statement I : The function defined by is one-one. Statement II : The function defined by is many-one. In the light of the above statements, choose the correct answer from the options given below : (A) Statement I is true but Statement II is false (B) Both Statement I and Statement II are false (C)…

  • Hyperbola-JEE-Mains-PYQ’s

    Mathematics Questions Let the ellipse and the hyperbola have the same foci. If and respectively denote the eccentricity and the length of the latus rectum of , then the value of is : (A) 296 (B) 126 (C) 67 (D) 148 Click to View Answer Correct Answer: [ ] Let be a chord of the…

  • Ellipse-JEE-Mains-PYQ’s

    An ellipse has its center at , one focus at and one vertex at . Then the length of its latus rectum is : (A) (B) (C) (D) Click to View Answer Correct Answer: [ ] Let the length of the latus rectum of an ellipse , be . If its eccentricity is the maximum…

  • Parabola-JEE-Mains-PYQ’s

    Mathematics Questions Let be the vertex of the parabola and be any point on it. Let the locus of the point , which divides the line segment internally in the ratio be the conic . Then the equation of the chord of , which is bisected at the point , is : (A) (B) (C)…