2016 CBSE Maths Paper

Class 10 Board Paper Two mark Question Video Explanations
Section B contains 6 questions of 2 marks each. Scroll down for explanatory answer and video solution to all six 2-mark questions that appeared in 2016 CBSE Board Exam maths paper.
  1. If -5 is a root of the quadratic equation 2x2 + Px – 15 = 0 and the quadratic equation P(x2 + x) + K = 0 has equal roots, find the value of K.

  2. Let P and Q be the points of trisection of the line segment joining the points A(2, –2) and B(–7, 4) such that P is nearer to A. Find the coordinates of P and Q.

  3. A quadrilateral ABCD is drawn to circumscribe a circle, with centre O, in such a way that the sides AB, BC, CD and DA touch the circle at the points P, Q, R and S respectively. Prove that AB +CD = BC + DA.

    quadrilateral circumscribing a circle
  4. Prove that the points (3, 0), (6, 4) and (–1, 3) are the vertices of a right angled isosceles triangle.

  5. The 4th term of an A.P. is zero. Prove that the 25th term of the A.P. is three times its 11th term.

  6. From an external point P, two tangents PT and PS are drawn to a circle with centre O and radius r. If OP = 2r, show that ∠OTS = ∠OST = 30°.