JEE Mains · Maths · STD 11 - 9. straight line
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 \(...........\)
- A \(31\)
- B \(30\)
- C \(28\)
- D \(56\)
Answer & Solution
Correct Answer
(A) \(31\)
Step-by-step Solution
Detailed explanation
If \(x=1, y=\frac{57}{4}=14.25\) \((1,1)(1,2)-(1,14) \quad \Rightarrow 14\) pts. If \(x =2, y =\frac{27}{2}=13.5\) \((2,2)(2,4) \ldots(2,12) \quad \Rightarrow 6\) pts. If \(x=3, y=\frac{51}{4}=12.75\) \((3,3)(3,6)-(3,12) \quad \Rightarrow 4\) pts. If \(x=4, y=12\)…
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