Question 21

Q4Multiple choiceExercise 3.3

Find the value(s) of p in

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(i) to

(ii) – x + py = 1 and px – y = 1, if the pair of equations has no solution.

(iii) – 3x + 5y = 7 and 2px – 3y = 1, if the lines represented by these equations are intersecting at a unique point. (iv) 2x + 3y – 5 = 0 and px – 6y – 8 = 0, if the pair of equations has a unique solution. (v) 2x + 3y = 7 and 2px + py = 28 – qy, if the pair of equations have infinitely many solutions.

(iv) and p and q in (v) for the following pair of equations: (i) 3x – y – 5 = 0 and 6x – 2y – p = 0, if the lines represented by these equations are parallel.