JEE MATH APEX

Category: JEE-M-PYQ

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

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    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

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    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

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    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

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    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

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    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)…

  • Circles-JEE-Main-PYQ’s

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    Mathematics Questions Let the circle intersect -axis at the points and . Let and be two points such that . Then the point of intersection of and lies on : (A) (B) (C) (D) Click to View Answer Correct Answer: [ ] Let be the equation of a chord of the circle (in the closed…

  • Permutations and Combinations-JEE-Main-PYQ’s

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    Mathematics Questions Let . Let be the number of 9-digit numbers formed using the digits of the set such that only one digit is repeated and it is repeated exactly twice. Let be the number of 9-digit numbers formed using the digits of the set such that only two digits are repeated and each of…

  • Sequence and Series-JEE-Main-PYQ’s

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    Mathematics Questions Let the arithmetic mean of and be . If is such that are in A.P., then the equation has : (A) one root in and another in (B) one root in and another in (C) both roots in the interval (D) complex roots of magnitude less than 2 Click to View Answer Correct…

  • Straight Lines-JEE-Main-PYQ’s

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    Mathematics Questions Let be an equilateral triangle with orthocenter at the origin and the side on the line . If the co-ordinates of the vertex are , then the greatest integer less than or equal to is (A) 5 (B) 4 (C) 2 (D) 3 Click to View Answer Correct Answer: [ ] Let the…

  • Binomial Theorem-JEE-Main-PYQ’s

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    Mathematics Questions Given below are two statements: Statement I: is divisible by 7. Statement II: The integral part of is an odd number. In the light of the above statements, choose the correct answer from the options given below: (A) Statement I is false but Statement II is true (B) Both Statement I and Statement…