Straight Lines Question 4
Question 4 - 25 January - Shift 2
A triangle is formed by $X$ - axis, $Y$ - axis and the line $3 x+4 y=60$. Then the number of points P($a$, b) which lie strictly inside the triangle, where a is an integer and b is a multiple of a, is _________
Show Answer
Answer: (31)
Solution:
Formula: Dsitance Formula
Required points are
$$ \begin{aligned} & (1,1),(1,2),(1,3)(1,4) \ldots \ldots \ldots \ldots)(1,14) \\ & (2,2),(2,4),(2,6),(2,8),(2,10),(2,12) \\ & (3,3)(3,6)(3,9)(3,12) \\ & (4,4)(4,8) \\ & (5,5)(5,10) \\ & (6,6),(7,7),(8,8) \end{aligned} $$
Total number of points $a, b=31$
