PYQ Vault

Day 215: CBSE Class 10 Maths

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

  1. Question 1

    Circles. Asked once: 2024

    9
    Maximum number of common tangents that can be drawn to two circles intersecting at two distinct points is :

    Tap an option to check your answer.

  2. Question 2

    Coordinate Geometry. Asked once: 2025

    28
    P(x,y)P(x, y), Q(−2,−3)Q(-2, -3) and R(2,3)R(2, 3) are the vertices of a right triangle PQR right angled at P. Find the relationship between x and y. Hence, find all possible values of x for which y = 2.

  3. Question 3

    Pair of Linear Equations in Two Variables. Asked once: 2025

    29
    The two angles of a right angled triangle other than 90∘90^\circ are in the ratio 2 : 3. Express the given situation algebraically as a system of linear equations in two variables and hence solve it.

  4. Question 4

    Real Numbers. Asked once: 2025

    29
    Prove that 15\dfrac{1}{\sqrt{5}} is an irrational number.

  5. Question 5

    Triangles. Asked once: 2025

    32
    State the basic proportionality theorem. Use the theorem to do the following : In ΔABC\Delta ABC, AD is the angle bisector of angle A. BA is produced to E such that CE∥ADCE \parallel AD. Prove that BDDC=BAAC\dfrac{BD}{DC} = \dfrac{BA}{AC}.