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

Find the slope of a line joining the points

(sin θ, – cos θ) and (– sin θ, cos θ)

What is the slope of a line perpendicular to the line joining A(5, 1) and P where P is the mid-point of the segment joining (4, 2) and (–6, 4).

Show that the given points are collinear: (– 3, – 4), (7, 2) and (12, 5)

If the three points (3, – 1), (a, 3) and (1, – 3) are collinear, find the value of a

The line through the points (– 2, a) and (9, 3) has slope `-1/2` Find the value of a.

The line through the points (– 2, 6) and (4, 8) is perpendicular to the line through the points (8, 12) and (x, 24). Find the value of x.

Show that the given points form a right angled triangle and check whether they satisfy Pythagoras theorem

A(1, – 4), B(2, – 3) and C(4, – 7)

Show that the given points form a right angled triangle and check whether they satisfy Pythagoras theorem.

L(0, 5), M(9, 12) and N(3, 14)

Show that the given points form a parallelogram:

A(2.5, 3.5), B(10, – 4), C(2.5, – 2.5) and D(– 5, 5)

If the points A(2, 2), B(– 2, – 3), C(1, – 3) and D(x, y) form a parallelogram then find the value of x and y.

Let A(3, – 4), B(9, – 4), C(5, – 7) and D(7, – 7). Show that ABCD is a trapezium.

A quadrilateral has vertices at A(– 4, – 2), B(5, – 1), C(6, 5) and D(– 7, 6). Show that the mid-points of its sides form a parallelogram.

The slope of the line joining (12, 3), (4, a) is `1/8`. The value of ‘a’ is

The slope of the line which is perpendicular to a line joining the points (0, 0) and (− 8, 8) is 

If slope of the line PQ is `1/sqrt(3)` then slope of the perpendicular bisector of PQ is

Without using distance formula, show that the points (−2, −1), (4, 0), (3, 3) and (−3, 2) are vertices of a parallelogram

Find the equation of a line passing through the point of intersection of the lines 4x + 7y – 3 = 0 and 2x – 3y + 1 = 0 that has equal intercepts on the axes.

The radius of a sphere increases by 25%. Find the percentage increase in its surface area

The internal and external diameters of a hollow hemispherical vessel are 20 cm and 28 cm respectively. Find the cost to paint the vessel all over at ₹ 0.14 per cm²

The total surface area of a hemisphere is how many times the square of its radius