Find the value of k for which the pair of equations kx + 2y = 3 and 3x + 6y = 10 has a unique solution.
Given pair of linear equations is
kx + 2y = 3 …….(i)
3x + 6y = 10 …….(ii)
For unique solution,
Hence, the pair of equations has a unique solution for all real values of k except 1.
Find c if the system of equations cx + 3y + (3-c) = 0; 12x + cy – c = 0 has infinitely many solution.
Given system of equations is:
cx + 3y + (3-c) = 0 ………..(i)
12x + cy – c = 0 ………..(ii)
If the system of equation have infinitly many solution:
From (iii) and (iv)
The value of c = 6
Exercise 1.1 real number class 10 ncert maths solutions
Exercise 1.2 real number class 10 ncert maths solutions