Question

The straight line x + 2y – 9 = 0, 3x + 5y – 5 = 0 and

ax + by – 1 = 0 are concurrent, if the straight line

35x – 22y + 1 = 0 passes through the point –

• A. (a, b)
• B. (b, a)
• C. (– a,– b)
• D. None of these

Answer 1

Answer: (A)

(a, b)

Answer 2

x +2y – 9 = 0 ....(i) ; 3x + 5y – 5 = 0 .....(ii)

ax + by – 1 = 0 ......(iii)

\ lines (i) , (ii) & (iii) are concurrent, then

Ž $\left| \begin{array} { l l l } 1 & 2 & - 9 \\ 3 & 5 & - 5 \\ \mathrm { a } & \mathrm { b } & - 1 \end{array} \right|$ = 0 Ž 35a – 22b + 1 = 0

Which is true if the line 35x + 22y + 1 = 0

passes through (a, b)