Answer in one word/sentence - In which quadrant a point lies, if the (ii) Write the linear equation x = 3y in (iii) How many lines can pass through

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प्र.5 एक शब्द/वाक्य में उत्तर दीजिए - (Answer in one word/sentence -)

(i) यदि बिन्दु $(+, +)$ के रूप का है, तो वह किस चतुर्थांश में होगा? * (i) In which quadrant a point lies, if the point is of the form $(+, +)$? * The point will lie in the First Quadrant.

(ii) रैखिक समीकरण $x = 3y$ को मानक रूप में लिखिए। * (ii) Write the linear equation $x = 3y$ in standard form. * The standard form of a linear equation in two variables is $Ax + By + C = 0$. * Rewriting $x = 3y$ gives $\boxed{x - 3y + 0 = 0}$.

(iii) एक बिन्दु से होकर कितनी रेखाएँ खींची जा सकती हैं? * (iii) How many lines can pass through one point? * Infinitely many lines can pass through one point.

(iv) किसी समान्तर चतुर्भुज के विकर्ण परस्पर समान और लम्बवत् हों, तो वह चतुर्भुज होगा। * (iv) If the diagonals of a parallelogram are equal and perpendicular to each other, then quadrilateral will be. * The quadrilateral will be a square.

(v) वृत्त की सबसे बड़ी जीवा कहलाती है। * (v) Write the name of longest chord of a circle. * The longest chord of a circle is its diameter.

(vi) त्रिभुज का क्षेत्रफल संबंधी हीरॉन का सूत्र लिखिए। * (vi) Write the Heron's formula to find the area of a triangle. * Heron's formula is $\boxed{\text{Area} = \sqrt{s(s-a)(s-b)(s-c)}}$, where $s = \frac{a+b+c}{2}$ is the semi-perimeter and $a, b, c$ are the side lengths of the triangle.