SSLC (English Medium) कक्षा १० - Tamil Nadu Board of Secondary Education Question Bank Solutions

Two circles intersect at A and B. From a point, P on one of the circles lines PAC and PBD are drawn intersecting the second circle at C and D. Prove that CD is parallel to the tangent at P.

Vertices of given triangles are taken in order and their areas are provided aside. Find the value of ‘p’.

Vertices of given triangles are taken in order and their areas are provided aside. Find the value of ‘p’.

In the following, find the value of ‘a’ for which the given points are collinear

(2, 3), (4, a) and (6, – 3)

In the following, find the value of ‘a’ for which the given points are collinear

(a, 2 – 2a), (– a + 1, 2a) and (– 4 – a, 6 – 2a)

Find the area of the quadrilateral whose vertices are at (– 9, – 2), (– 8, – 4), (2, 2) and (1, – 3)

Find the area of the quadrilateral whose vertices are at (– 9, 0), (– 8, 6), (– 1, – 2) and (– 6, – 3)

Find the value of k, if the area of a quadrilateral is 28 sq. units, whose vertices are (– 4, – 2), (– 3, k), (3, – 2) and (2, 3)

Let P(11, 7), Q(13.5, 4) and R(9.5, 4) be the midpoints of the sides AB, BC and AC respectively of ∆ABC. Find the coordinates of the vertices A, B and C. Hence find the area of ∆ABC and compare this with area of ∆PQR.

The quadrilateral swimming pool shown is surrounded by concrete patio. Find the area of the patio

Find the area of quadrilateral BCEG

When proving that a quadrilateral is a trapezium, it is necessary to show

When proving that a quadrilateral is a parallelogram by using slopes you must find

PQRS is a rectangle formed by joining the points P(– 1, – 1), Q(– 1, 4), R(5, 4) and S(5, – 1). A, B, C and D are the mid-points of PQ, QR, RS and SP respectively. Is the quadrilateral ABCD a square, a rectangle or a rhombus? Justify your answer.

If vertices of a quadrilateral are at A(– 5, 7), B(– 4, k), C(– 1, – 6) and D(4, 5) and its area is 72 sq. units. Find the value of k.

For what value of natural number n, 4ⁿ can end with the digit 6?

If m, n are natural numbers, for what values of m, does 2ⁿ × 5^m ends in 5?

Find the H.C.F. of 252525 and 363636

If 13824 = 2^a × 3^b then find a and b

If p₁^x₁ × p₂^x₂ × p₃^x₃ × p₄^x₄ = 113400 where p₁, p₂, p₃, p₄ are primes in ascending order and x₁, x₂, x₃, x₄, are integers, find the value of p₁, p₂, p₃, p₄ and x₁, x₂, x₃, x₄