# HOTs Linear Equations 10 Mathematics

Please refer to Linear Equations HOTs Class 10 Mathematics provided below with Linear Equations. All HOTs for Class 10 Mathematics with answers provided below have been designed as per the latest syllabus and examination petter issued by CBSE, NCERT, KVS. Students of Standard 10 Mathematics should learn the solved HOTS for Class 10 Mathematics provided below to gain better marks in examinations.

## Linear Equations Class 10 Mathematics HOTs

Questions of 1 Mark

Question. For what value of ‘K’ the pair of equations x – ky + 4 = 0 and 2x – 4y – 8 = 0 is inconsistent?

k=2

Question. Does the point (1, – 2) lie on the line whose equation is 3x – y – 5 = 0?

yes

Question. How many solutions of the equation 5x – 4y + 11 = 0 are possible?

Infinite solution

Question. Which axis is the graph of equation x = 0?

y-axis

Question. Find the co – ordinates of the point where the line 2x – 3y = 6 meets x – axis and y – axis.

(3,0),(0,-2)

Question. Find the value of ‘a’ for which the system of equations 3x + 2y – 4 = 0 and ax – y – 3 = 0 will represent intersecting lines?

Question. What is the value of ‘K’ for which the graph of the equations 2x – 3y = 9 and kx – 9y = 18 are parallel lines?

k=6

Question. What is the solution of √2 x – √5 y = 0 and 2. √3 x – √7 y = 0.

x = 0, y = 0

Question. Write a linear equation in two variables which is consistent to equation 5(x – y) = 3.

2x + 3y = 7 or more others

Questions of 2 Marks

Question. Solve for x and y:
103x + 51y = 617,
97x + 49y = 583.

x = 5, y = 2

Question. In a cyclic quad. ABCD;

Find the four angles in degree.

∠A =70°, . ∠B =53°, . ∠C =110°, . ∠D=127°

Question. For what value of ’K’ will the following equations has no solution.
3x + y = 1, (2K – 1)x + (K – 1)y = 2K + 1.

k = 2

Question. The sum of two numbers is 35 and their difference is 13 find the Numbers.