Chapter: Linear Equations in Two Variables· Mathematics Part 1 (Algebra)

Asked in: June 2026 board paper; March 2024 asked the same idea for 2 marks (if (0, 2) is a solution of \(2x + 3y = k\), find \(k\); answer \(k = 6\))If the point (2, 1) lies on the graph of the equation \(x + ay = 4\), then find the value of ‘a’ and…

Asked in: June 2026 board paper; March 2024 asked the same idea for 2 marks (if (0, 2) is a solution of \(2x + 3y = k\), find \(k\); answer \(k = 6\))

If the point (2, 1) lies on the graph of the equation \(x + ay = 4\), then find the value of ‘a’ and draw the graph of the equation so obtained.

Doubtly Asked 29 Oct 2026 Practice test ssc 10th Save WhatsApp Report

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Answer: \(a = 2\); the equation is \(x + 2y = 4\)

(2, 1) lies on the line, so it satisfies the equation: \(2 + a(1) = 4 \Rightarrow a = 2\).

Equation: \(x + 2y = 4\).

\(x\)	0	4	2
\(y\)	2	0	1
\((x, y)\)	(0, 2)	(4, 0)	(2, 1)

[Figure: The points (0, 2), (2, 1) and (4, 0) are plotted and joined by a straight line; it cuts the Y-axis at (0, 2) and the X-axis at (4, 0).]

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Asked in: June 2026 board paper; March 2024 asked the same idea for 2 marks (if (0, 2) is a solution of \(2x + 3y = k\), find \(k\); answer \(k = 6\))If the point (2, 1) lies on the graph of the equation \(x + ay = 4\), then find the value of ‘a’ and…

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