Let , , and be points such that are in AP. If are also in AP, then the points and are: मान लीजिए बिंदु , और इस प्रकार हैं कि और AP में हैं। यदि p, q और r, AP में हैं , तो बिंदु X, Y और Z

On a straight line Explanation: To determine the nature of these points, we use the properties of an Arithmetic Progression (AP). Step 1: Understand the AP conditions Since are in AP, the common difference is constant: Since are in AP, the common difference is constant: Step 2: Check for collinearity using slopes Points are collinear (lie on a straight line) if the slope of segment is equal to the slope of segment . Slope of ( ): Slope of ( ): Step 3: Conclusion Since , the slopes are equal, which confirms that the points and lie on the same straight line. Correct Option: (a) on a straight line

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NDA 2026 — Mathematics PYQ

NDA | Mathematics | 2026

Let $X (a, p)$ , $Y (b, q)$ , and $Z (c, r)$ be points such that $a, b, c$ are in AP.

If $p, q, r$ are also in AP, then the points $X, Y,$ and $Z$ are:

मान लीजिए बिंदु $X (a, p)$ , $Y (b, q)$ और $Z (c, r)$ इस प्रकार हैं कि $a, b$ और $c$ AP में हैं।

यदि p, q और r, AP में हैं, तो बिंदु X, Y और Z

Choose the correct answer: