Transcription of CLASS XII (STREAM SX) CAREER POINT
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CLASS XII (STREAM SX) CAREER POINT
Kota : CAREER POINT Ltd., CP Tower, IPIA, Road , Kota (Raj.), Ph: 0744-5151200 1 KVPY EXAMINATION 2017 CAREER POINT CLASS XII (STREAM SX) KVPY QUESTION PAPER-2017 (STREAM SX) Date : 05 /11/2017 Part A-Mathematics 1. Let BC be a fixed line segment in the plane. The locus of a POINT A such that the triangle ABC is isosceles, is (with finitely many possible exceptional points) [2017] (A) a line (B) a circle (C) the union of a circle and a line (D) the union of two circles and a line Sol. [D] Case (i) : AB C If B = C locus of A is bisector of BC So it is straight line Case (ii) : AB C If A = C BC fixed B(a, 0), C(0, a) BC = AB So, (x a)2 + y2 = 2a2 Circle Case (iii) : A = B AC = BC 22)ak(h = 2a2 x2 + (y a)2 = 2a2 also a circle So union of two circle and a line.
class xii (stream sx) kvpy examination 2017 career point
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