JEE & NEETJEE Mathematics JEE Main Maths 100+ MCQ & Answer | Page-08 | JEE & NEET MCQ February 4, 2025 DSN MARATHI 71. The tangent to the curve y = 2x2 -x + 1 is parallel to the line y = 3x + 9 at the point A. (2, 3) B. (2, -1) C. (2, 1) D. (1, 2) Answer Option : D 72. The tangent to the curve y = x2 + 3x will pass through the point (0, -9) if it is drawn at the point A. (0, 1) B. (-3, 0) C. (-4, 4) D. (1, 4) Answer Option : B 73. Find a point on the curve y = (x – 2)2. at which the tangent is parallel to the chord joining the points (2, 0) and (4, 4). A. (3, 1) B. (4, 1) C. (6,1) D. (5, 1) Answer Option : A 74. Tangents to the curve x2 + y2 = 2 at the points (1, 1) and (-1, 1) are A. parallel B. perpendicular C. intersecting but not at right angles D. none of these Answer Option : B 75. If there is an error of 2% in measuring the length of a simple pendulum, then percentage error in its period is A. 1% B. 2% C. 3% D. 4% Answer Option : A 76. If the radius of a sphere is measured as 9 cm with an error of 0.03 cm, then find the approximating error in calculating its volume. A. 2.46π cm3 B. 8.62π cm3 C. 9.72π cm3 D. 7.46π cm3 Answer Option : C 77. f(x) = 3x2 + 6x + 8, x ∈ R A. 2 B. 5 C. -8 D. does not exist Answer Option : D 78. If |a|= 5, |b|= 13 and |a × b|= 25, find a.b A. ±10 B. ±40 C. ±60 D. ±25 Answer Option : C 79. Find the value of λ so that the vectors 2i−4j^+k^ and 4i−8j^+λk^ are parallel. A. -1 B. 3 C. -4 D. 2 Answer Option : D 80. The vectors AB = 3i^+4k^ and AC = AC=5i^−2j^+4k^ are the side of a ΔABC. The length of the median through A is A. √18 B. √72 C. √72 D. √288 Answer Option : C
71. The tangent to the curve y = 2x2 -x + 1 is parallel to the line y = 3x + 9 at the point A. (2, 3) B. (2, -1) C. (2, 1) D. (1, 2) Answer Option : D
72. The tangent to the curve y = x2 + 3x will pass through the point (0, -9) if it is drawn at the point A. (0, 1) B. (-3, 0) C. (-4, 4) D. (1, 4) Answer Option : B
73. Find a point on the curve y = (x – 2)2. at which the tangent is parallel to the chord joining the points (2, 0) and (4, 4). A. (3, 1) B. (4, 1) C. (6,1) D. (5, 1) Answer Option : A
74. Tangents to the curve x2 + y2 = 2 at the points (1, 1) and (-1, 1) are A. parallel B. perpendicular C. intersecting but not at right angles D. none of these Answer Option : B
75. If there is an error of 2% in measuring the length of a simple pendulum, then percentage error in its period is A. 1% B. 2% C. 3% D. 4% Answer Option : A
76. If the radius of a sphere is measured as 9 cm with an error of 0.03 cm, then find the approximating error in calculating its volume. A. 2.46π cm3 B. 8.62π cm3 C. 9.72π cm3 D. 7.46π cm3 Answer Option : C
79. Find the value of λ so that the vectors 2i−4j^+k^ and 4i−8j^+λk^ are parallel. A. -1 B. 3 C. -4 D. 2 Answer Option : D
80. The vectors AB = 3i^+4k^ and AC = AC=5i^−2j^+4k^ are the side of a ΔABC. The length of the median through A is A. √18 B. √72 C. √72 D. √288 Answer Option : C
