Pair of Linear Equations in Two Variables Q4

Maths Pair of Linear Equations in Two Variables Hard

Find the value(s) of

p

in (i) to (iv) and

p

and

q

in (v) for the following pair of equations:

(i) $3 x - y - 5 = 0$ and $6 x - 2 y - p = 0$ , if the lines represented by these equations are parallel.
(ii) $- x + p y = 1$ and $p x - y = 1$ , if the pair of equations has no solution.
(iii) $- 3 x + 5 y = 7$ and $2 p x - 3 y = 1$ , if the lines represented by these equations are intersecting at a unique point.
(iv) $2 x + 3 y - 5 = 0$ and $p x - 6 y - 8 = 0$ , if the pair of equations has a unique solution.
(v) $2 x + 3 y = 7$ and $2 p x + p y = 28 - q y$ , if the pair of equations have infinitely many solutions.

🔒 Step-by-step solution

More questions from Pair of Linear Equations in Two Variables

Class 10 Maths — every question with an expert-verified, step-by-step solution.