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

Solve the following system of linear equations in three variables

x + 20 = `(3y)/2 + 10` = 2z + 5 = 110 – (y + z)

Discuss the nature of solution of the following system of equation.

x + 2y – z = 6; –3x – 2y + 5z = –12; x – 2z = 3

Discuss the nature of solutions of the following system of equations

2y + z = 3(– x + 1); – x + 3y – z = – 4; 3x + 2y + z = `-1/2`

Discuss the nature of solutions of the following system of equations

`(y + z)/4 = (z + x)/3 = (x + y)/2`; x + y + z = 27

Vani, her father and her grandfather have an average age of 53. One-half of her grandfather’s age plus one-third of her father’s age plus one-fourth of Vani’s age is 65. Four years ago if Vani’s grandfather was four times as old as Vani then how old are they all now?

The sum of the digits of a three-digit number is 11. If the digits are reversed, the new number is 46 more than five times the former number. If the hundreds digit plus twice the tens digit is equal to the units digit, then find the original three-digit number?

There are 12 pieces of five, ten and twenty rupee currencies whose total value is ₹ 105. When first 2 sorts are interchanged in their numbers its value will be increased by ₹ 20. Find the number of currencies in each sort

A system of three linear equation in three variables is inconsistent if their planes

Find the area of the triangle formed by the points

(1, – 1), (– 4, 6) and (– 3, – 5)

Find the area of the triangle formed by the points

(–10, –4), (–8, –1) and (–3, –5)

Determine whether the sets of points are collinear?

`(-1/2, 3), (-5, 6) and (-8, 8)`

Determine whether the sets of points are collinear?

(a, b + c), (b, c + a) and (c, a + b)

If the points A(– 3, 9), B(a, b) and C(4, – 5) are collinear and if a + b = 1, then find a and b

A triangular shaped glass with vertices at A(– 5, – 4), B(1, 6) and C(7, – 4) has to be painted. If one bucket of paint covers 6 square feet, how many buckets of paint will be required to paint the whole glass, if only one coat of paint is applied

Find the area of triangle AGF

Find the area of triangle FED

The area of triangle formed by the points (− 5, 0), (0, – 5) and (5, 0) is

A man walks near a wall, such that the distance between him and the wall is 10 units. Consider the wall to be the Y-axis. The path travelled by the man is

If (5, 7), (3, p) and (6, 6) are collinear, then the value of p is

Find the area of a triangle formed by the lines 3x + y – 2 = 0, 5x + 2y – 3 = 0 and 2x – y – 3 = 0