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Answer Key: Coordinate Geometry PYQ

Class: 10 (CBSE) Subject: Mathematics Chapter: 07
BOARD EXAM 2025 (Set 30/6/3)
Q14. The distance of point \(P(3a, 4a)\) from y-axis is
  • (A) 3a
  • (B) -3a
  • (C) 4a
  • (D) -4a
Q22. Prove that abscissa of a point P which is equidistant from \(A(7, 1)\) and \(B(3, 5)\) is 2 more than its ordinate.
Q27. If points \(A(6, 1)\), \(B(p, 2)\), \(C(9, 4)\) and \(D(7, q)\) are vertices of a parallelogram ABCD, find \(p\) and \(q\). Check whether ABCD is a rectangle.
Diagonals bisect each other: Midpoint AC = Midpoint BD.
\(p = 8, q = 3\).
\(AC^2 = 18, BD^2 = 2\). Since \(AC \neq BD\), ABCD is not a rectangle.