Tag: philosophy
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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…
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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…
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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)…
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Circles-JEE-Main-PYQ’s
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…
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Permutations and Combinations-JEE-Main-PYQ’s
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…
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Sequence and Series-JEE-Main-PYQ’s
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…
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Straight Lines-JEE-Main-PYQ’s
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…
