Latest KVPY Aptitude Question SOLUTION: All the points (x, y) in the plane satisfying the equation x^2 + 2x sin (xy) + 1 = 0 lie on - (A) a pair of straight lines (B) a family of hyperbolas (C) a parabola (D) an ellipse

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Previous Question: Consider the cubic equation x^3 + ax^2 + bx + c = 0, where a, b, c are real numbers. Which of the following statements is correct ? (A) If a^2 – 2b < 0, then the equation has one real and two imaginary roots (B) If a^2 – 2b ≥ 0, then the equation has all real roots (C) If a^2 – 2b > 0, then the equation has all real and distinct roots (D) If 4a^3 – 27b^2 > 0, then the equation has real and distinct roots Next Question: Let A = (4, 0), B = (0, 12) be two points in the plane. The locus of a point C such that the area of triangle ABC is 18 sq. units is

(#M40027020) KVPY question Mental Ability Keep an EYE

All the points (x, y) in the plane satisfying the equation x^2 + 2x sin (xy) + 1 = 0 lie on -
(A) a pair of straight lines (B) a family of hyperbolas
(C) a parabola (D) an ellipse: Asked In KVPY MAN (10 years ago); Unsolved; Is this Puzzle helpful? (2) (0) Submit Your Solution

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Previous Question: Consider the cubic equation x^3 + ax^2 + bx + c = 0, where a, b, c are real numbers. Which of the following statements is correct ? (A) If a^2 – 2b < 0, then the equation has one real and two imaginary roots (B) If a^2 – 2b ≥ 0, then the equation has all real roots (C) If a^2 – 2b > 0, then the equation has all real and distinct roots (D) If 4a^3 – 27b^2 > 0, then the equation has real and distinct roots Next Question: Let A = (4, 0), B = (0, 12) be two points in the plane. The locus of a point C such that the area of triangle ABC is 18 sq. units is

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