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svetlana [45]
3 years ago
14

PQR has medians QM and PM that intersect at Z. If ZM = 4, find QZ and QM.

Mathematics
1 answer:
erastova [34]3 years ago
4 0

Answer:

value of QZ = 8 units and QM =  12 units.

Step-by-step explanation:

Given: In triangle PQR has medians QM and PN that intersect at Z.

If ZM = 4 units.

In the figure given below;  second median divided the two triangles formed by the first median in the ratio 2:1.

We have to find the value of QZ and QM;

QZ:ZM = 2: 1

⇒ \frac{QZ}{ZM} = \frac{2}{1}

Substitute the value of ZM =4 units and solve for QZ;

\frac{QZ}{4} = \frac{2}{1}

Multiply both sides by 4 we get;

QZ = 2 \times 4 = 8 units

Now, calculate QM;

QM = QZ+ZM = 8 + 4 = 12 units.

Therefore, the value of QZ and QM are; 8 units and 12 units

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1.60. वात्सल्य के अन्तर्गत शिशु स्वरूप के सौंदर्य की अपनी महत्वपूर्ण भूमिका होती है । आपने भी जीवन में
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संस्कृत के प्राचीन आचार्यों ने देवादिविषयक रति को केवल ‘भाव’ ठहराया है तथा वात्सल्य को इसी प्रकार की ‘रति’ माना है, जो स्थायी भाव के तुल्य, उनकी दृष्टि में चवर्णीय नहीं है[1]।

सोमेश्वर भक्ति एवं वात्सल्य को ‘रति’ के ही विशेष रूप मानते हैं - ‘स्नेहो भक्तिर्वात्सल्यमिति रतेरेव विशेष:’, लेकिन अपत्य-स्नेह की उत्कटता, आस्वादनीयता, पुरुषार्थोपयोगिता इत्यादि गुणों पर विचार करने से प्रतीत होता है कि वात्सल्य एक स्वतंत्र प्रधान भाव है, जो स्थायी ही समझा जाना चाहिए।

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हर्ष, गर्व, आवेग, अनिष्ट की आशंका इत्यादि वात्सल्य के व्यभिचारी भाव हैं।

8 0
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