यदि सर्पिल में बिंदु \(P_6\) ऐसा है कि \(OP_6=\sqrt{6}\), तो अगले बने समकोण त्रिभुज का क्षेत्रफल कितना होगा?

If point \(P_6\) in the spiral satisfies \(OP_6=\sqrt{6}\), what is the area of the next right triangle formed?

Author: Muft Shiksha Editorial Team Published:
Explanation opens after your attempt
Correct Answer

C. \( \frac{\sqrt{6}}{2} \)

Step 1

Concept

The next triangle has perpendicular sides \( \sqrt{6} \) and (1). Its area is \( \frac{1}{2}\times \sqrt{6}\times 1=\frac{\sqrt{6}}{2} \).

Step 2

Why this answer is correct

The correct answer is C. \( \frac{\sqrt{6}}{2} \). The next triangle has perpendicular sides \( \sqrt{6} \) and (1). Its area is \( \frac{1}{2}\times \sqrt{6}\times 1=\frac{\sqrt{6}}{2} \).

Step 3

Exam Tip

अगले त्रिभुज की लंबवत भुजाएँ \( \sqrt{6} \) और (1) हैं। क्षेत्रफल \( \frac{1}{2}\times \sqrt{6}\times 1=\frac{\sqrt{6}}{2} \) होगा।

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Mathematics Answer, Explanation and Revision Hints

यदि सर्पिल में बिंदु \(P_6\) ऐसा है कि \(OP_6=\sqrt{6}\), तो अगले बने समकोण त्रिभुज का क्षेत्रफल कितना होगा? / If point \(P_6\) in the spiral satisfies \(OP_6=\sqrt{6}\), what is the area of the next right triangle formed?

Correct Answer: C. \( \frac{\sqrt{6}}{2} \). Explanation: अगले त्रिभुज की लंबवत भुजाएँ \( \sqrt{6} \) और (1) हैं। क्षेत्रफल \( \frac{1}{2}\times \sqrt{6}\times 1=\frac{\sqrt{6}}{2} \) होगा। / The next triangle has perpendicular sides \( \sqrt{6} \) and (1). Its area is \( \frac{1}{2}\times \sqrt{6}\times 1=\frac{\sqrt{6}}{2} \).

Which concept should I revise for this Mathematics MCQ?

The next triangle has perpendicular sides \( \sqrt{6} \) and (1). Its area is \( \frac{1}{2}\times \sqrt{6}\times 1=\frac{\sqrt{6}}{2} \).

What exam hint can help solve this Mathematics question?

अगले त्रिभुज की लंबवत भुजाएँ \( \sqrt{6} \) और (1) हैं। क्षेत्रफल \( \frac{1}{2}\times \sqrt{6}\times 1=\frac{\sqrt{6}}{2} \) होगा।