Question

Assertion :The orthocenter of the triangle formed by the lines $\frac{x}{a}+\frac{y}{b}=1$, $x=0$ $y=0$ lies on a vertex. Reason: Orthocenter is the point of intersection of the altitudes

• A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
• B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
• C. Assertion is correct but Reason is incorrect
• D. Both Assertion and Reason are incorrect

Answer 1

The correct option is A Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

Triangle $RPQ$ is right angle at $P(0,0),QR$ is hypotenuse.

$P(0,0)$ is the point of intersection of the altitudes of the triangles.

So $(0,0)$ is orthocentre which is one of the vertex of the triangle formed by the given lines.