The line \(\displaystyle\frac{x+2}{3} = \frac{y+3}{5} = \frac{z-6}{4}\) passes through (a, 2, c). The value of a and c are:
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → a = 1, c = 10
The point (a, 2, c) satisfies the equation of the line. The y-coordinate is known, so the common ratio is
\( \displaystyle \frac{2+3}{5} = 1 \)
Equating the other two fractions to 1:
\( \displaystyle \frac{a+2}{3} = 1, \quad a = 1 \)
\( \displaystyle \frac{c-6}{4} = 1, \quad c = 10 \)