In which of the following options, the angle between two straight li
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16 Dec 2024, 05:19
(A) The equations of the two straight lines is $\(4 x+6 y+2=0\)$ and $\(6 x+9 y+10=0\)$. - The two lines when simplified, we get $\(2 x+3 y+1=0 \& 2 x+3 y+\frac{10}{3}=0\)$ which are parallel lines, so the angle between them must be 0 degrees.
(B) The angle between the sides $A B$ and $\(A C\)$ in triangle $\(A B C\)$, whose lengths are \(3\) and \(4\) It is insufficient, as just on the basis of the length of the sides, the measure of the angle between them cannot be found.
(C) The angle between the sides of the triangle, the side opposite of which lies on the diameter of a circle - In this statement we do not know if the vertex opposite the diameter lies on the circumference of the circle or not, so we cannot comment on the angle between sides.
Hence only option A can give the angle between two lines, so the answer is (A).