PYQ Vault

Day 191: CBSE Class 10 Maths

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

  1. Question 1

    Circles. Asked once: 2026

    35
    PQ and PR are two tangents to a circle with centre O and radius 5 cm. AB is another tangent to the circle at C which lies on OP. If OP = 13 cm, then find the length AB and PA.

  2. Question 2

    Coordinate Geometry. Asked once: 2026

    22 (a)
    Vertices of a right triangle ABC with ∠B=90∘\angle B = 90^\circ are A(3,4)A(3, 4), B(1,1)B(1, 1) and C(−8,7)C(-8, 7). Find the value of tan A.

  3. Question 3

    Introduction to Trigonometry. Asked once: 2025

    12
    If x=cos⁡30∘−sin⁡30∘x = \cos 30^\circ - \sin 30^\circ and y=tan⁡60∘−cot⁡60∘y = \tan 60^\circ - \cot 60^\circ, then

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  4. Question 4

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

    34
    Draw the graph of the pair of linear equations x−y+2=0x - y + 2 = 0 and 4x−y−4=04x - y - 4 = 0. Calculate the area of the triangle formed by the lines so drawn and the xx-axis.

  5. Question 5

    Polynomials. Asked once: 2024

    Two statements are given, one labelled Assertion (A) and the other labelled Reason (R). Select the correct answer from the options given below.
    20
    Assertion (A) : Degree of a zero polynomial is not defined. Reason (R) : Degree of a non-zero constant polynomial is 0.

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