Category: JEE-M-PYQ

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Mathematics Questions Let and . Then (A) (B) (C) (D) Click to View Answer Correct Answer: [ ] Let and . Then (A) (B) (C) neither nor (D) Click to View Answer Correct Answer: [ ] Let and . Then is equal to: (A) 4 (B) 8 (C) 6 (D) 2 Click to View Answer…

Quadratic Equations-JEE-Mains-PYQ’s

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SECTION A: Quadratic Equations 1. The sum of the squares of the roots of and the squares of the roots of , is: (A) 24 (B) 26 (C) 36 (D) 30 Click to View Answer Correct Answer: [Insert Correct Answer] 2. The number of real roots of the equation is: (A) 4 (B) 3 (C)…

Inverse Trigonometric Functions-JEE-Mains-PYQ’s

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Mathematics Questions Considering the principal values of inverse trigonometric functions, the value of the expression is equal to : (A) (B) (C) (D) Click to View Answer Correct Answer: [ ] If the domain of the function is , then is equal to (A) 4 (B) 2 (C) 5 (D) 3 Click to View Answer…

Applications of Derivatives-JEE-Mains-PYQ’s

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Mathematics Questions Consider the following three statements for the function defined by : (I) is differentiable at all . (II) is increasing in . (III) is decreasing in . Then. (A) Only (I) is TRUE. (B) Only (I) and (III) are TRUE. (C) Only (II) and (III) are TRUE. (D) All (I), (II) and (III)…

Methods of differentiation-JEE-Mains-PYQ’s

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Mathematics Questions If , then at is equal to (A) (B) (C) (D) Click to View Answer Correct Answer: [ ] Let be such that and . Then is equal to: (A) 54 (B) 51 (C) 73 (D) 62 Click to View Answer Correct Answer: [ ] Suppose for a differentiable function and . If…

Indefinite Integration-JEE-Mains-PYQ’s

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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

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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

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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

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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

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