CBSE BoardEnglish MediumSTD 10MathsMODEL PAPER 2 (BASIC)1 Mark
MCQ
If (a, 0), (0, b) and (x, y) are collinear, then
A
ay - bx = 1
B
ax + by = 1
C
ay + bx = ab
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ax - by = ab
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Answer
Correct option: D.
ax - by = ab
(D) ay + bx = ab Explanation: If given points are collinear, then the area of the triangle formed by these three points is 0. $\therefore$ Area $=\frac{1}{2}|a(b-y)+0(y-0)+x(0-b)|=0$ $\Rightarrow \frac{1}{2}|a b-a y-b x|=0$ $\Rightarrow a b-a y-b x=0$ $\Rightarrow a y+b x=a b$
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