PYQ Vault

Day 188: CBSE Class 10 Maths

5 questions. Try each one first, then open its answer.

  1. Question 1

    Arithmetic Progressions. Asked once: 2026

    27 (a)
    In an A.P., 15th15^{\text{th}} term exceeds the 8th8^{\text{th}} term by 21. If sum of first 10 terms is 55, then form the A.P.

  2. Question 2

    Circles. Asked once: 2026

    31 (a)
    Prove that the tangent at any point of a circle is perpendicular to the radius through the point of contact.

  3. Question 3

    Coordinate Geometry. Asked once: 2026

    23 (a)
    Diagonals AC and BD of square ABCD intersect at P. Coordinates of points B and D are (9,−2)(9, -2) and (1,6)(1, 6) respectively. (i) Find the co-ordinates of point P. (ii) Find the length of the side of the square.

  4. Question 4

    Introduction to Trigonometry. Asked once: 2026

    31
    If sec⁡θ+tan⁡θ=m\sec\theta + \tan\theta = m, show that m2−1m2+1=sin⁡θ\dfrac{m^2 - 1}{m^2 + 1} = \sin\theta.

  5. Question 5

    Pair of Linear Equations in Two Variables. Asked once: 2026

    26 (a)
    In a class test, Veer scored 6 more than twice as many marks as Kevin scored. If one of them had scored 4 more marks, their total score would have been 40. Find the marks obtained by Veer and Kevin.