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Answer the following questions. a. Do all stars have the same mass? Write with examples as evidence to support your answer. b. How does the enormous amount of energy get released in stars? c. Do all stars have same colour? What do the colour of the star suggest about its lifespan?
Physics Feb 17, 2025
समूह 'क' (Group 'A') 1. यदि \( (3 x-2,2 y-1)=(4,7) \) भए \( x ₹ y \) को मान पत्ता लगाउनुहोस् । (Find the value of \( x \) and \( y \) if \( (3 x-2,2 y-1) \) \( =(4,7) \).) 2. यदि \( \mathrm{P}(x)=x^{2}-x-12 \) र \( \mathrm{Q}(x)=x+3 \) भए \( \mathrm{P}(x)+\mathrm{Q}(x) \) गरी शेष पत्ता लगाउनुहोस् । (If \( \mathrm{P}(x)=x^{2}-x-12 \) and \( \mathrm{Q}(x)=x+3 \) then \( \mathrm{P}(x) \div \mathrm{Q}(x) \) find remainder.) Ans: 0 3. मान निकाल्नुहोस् । (Evaluate): \( \lim _{x \rightarrow 4} \frac{x+3}{x-2} \) Ans: \( \frac{7}{2} \) 4. \( 108^{\circ} \) लाई रेडियनमा व्यक्त गर्नुहोस्। (Express \( 108^{\circ} \) into radian.) 5. प्रमाणित गर्नुहोस् (Prove that): \( \sin 60^{\circ}+\cos 30^{\circ}=\sqrt{3} \) 6. उद्गम बिन्दुदेखि बिन्दु \( A(3,4) \) सम्मको दुरी लगाउनुहोस् । (Find the distance of \( \mathrm{A}(3,4) \) from origin.) Ans: 5 7. मेट्रिक्सको क्रम परिवर्तनलाई परिभाषित गर्नुहोस्। \( \mathrm{A}=\left(\begin{array}{ccc}3 & 5 & 6 \\ -8 & 2 & 1\end{array}\right) \) भए \( \mathrm{A}^{\mathrm{T}} \) पत्ता लगाउनुहोस्। (Defin
Algebra Feb 16, 2025
(d) What is the meaning of \( 75 \% \) loss? By selling an exhaust fan for Rs 1,470 , Mr. Ekaraj gains \( \frac{1}{6} \) of its cost price.
Arithmetic Feb 16, 2025
In a quadrilateral \( \mathrm{ABCD}, \mathrm{AB}=4.7 \mathrm{~cm}, \mathrm{BC}=5.3 \mathrm{~cm}, \mathrm{CD}=6.1 \mathrm{~cm}, \mathrm{AD}=5.9 \mathrm{~cm} \) and \( \mathrm{BD}=4.4 \mathrm{~A} \) (i) Construct a quadrilateral ABCD from the given data: (ii) Measure the length of AC . In a quadrilateral \( \mathrm{DEFG}, \mathrm{DE}=3.5 \mathrm{~cm}, \mathrm{EF}=6.5 \mathrm{~cm}, \Varangle \mathrm{D}=\Varangle \mathrm{F}=105^{\circ} \) and \( \not \subset \mathrm{G}=75^{\circ} \), (i) Construct a quadrilateral DEFG from the given data: (ii) Measure the unknown sides In a quadrilateral \( \mathrm{DEFG}, \mathrm{DE}=5.6 \mathrm{~cm}, \mathrm{EF}=4 \mathrm{~cm}, \Varangle \mathrm{D}=40^{\circ}, \Varangle \mathrm{E}=110^{\circ} \), and \( \not \boxed{\mathrm{G}}=70^{\circ} \) (i) Construct a quadrilateral DEFG from the given data: (ii) Measure the unknown sides
Geometry Feb 16, 2025
(h) \( 1.2+6 x=-2.1 x-1.2 \)
Algebra Feb 16, 2025
Find the value of \( x \) from each of the following. \( \begin{array}{lll}\text { (a) } x+5=8 & \text { (b) } 2-x=3 & \text { (c) } \frac{x}{3}=-2 \\ \text { (d) } \frac{15}{x}=5 & \text { (e) } 2 x=8 & \text { (f) } 16=4 x \\ \text { (g) } \frac{x}{3}=\frac{2}{9} & \text { (h) } \frac{x}{5}=\frac{1}{2} & \text { (i) } \frac{x+2}{12}=1 \\ \text { section } B & \end{array} \)
Algebra Feb 16, 2025
सबै प्रश्नहरु अनिवार्य छन् । (All the questions are compulsory.) एउटा गणित विषय शिक्षक तालिममा 50 जना शिक्षकहरु सहभागी थिए। टि ब्रेकमा चिया व्यवस्थापनको लागि उनीहरुलाई प्रश्न गर्दा 16 जनाले कालो चिया मात्र, 24 जनाले दुध चिया मात्र मन पराउने तर 7 जनाले दुवै मन नपराउने पाइयो । ( 50 teachers were attended in a maths subject teacher training. It was found that 16 teachers liked black tea only, 24 liked milk tea only but 7 did not like both, when they were asked to manage tea in tea-break.) a. यदि जम्मा शिक्षकको संख्यालाई ' \( U \) ' ले जनाइन्छ भने \( U \) को गणनात्मक संख्या लेखनुहोस्। (If total number of teachers is represented by ' \( U \) ' then write cardinality of \( U \). [1] b. दिइएको जानकारीलाई भेनचित्रमा प्रस्तुत गर्नुहोस्। (Show the given information in venn-diagram.) [1] c. दुध चिया मन पराउने शिक्षकहरुको संख्या गणना गर्नुहोस् । (Compute number of teachers who liked milk tea.) [3] d. कालो चिया मात्र मन पराउने र दुध चिया मात्र मन पराउने शिक्षकको यहि अनुपातमा 75 जना शिक्षकहरु उपस्थित हुँदा कम्तिमा कति कप दुध चियाको व्यवस्था गर्नुपर्छ ? यदि दुवै मन पराउने र दुवै मन नपराउने पहिलेके जति छन् । (At least how many cup of milk tea should be managed if 75 teachers were attended in the same ratio of teachers who liked black tea only and milk tea only if teacher who liked both and who did not like both is same. [1]
Statistics Feb 16, 2025
Convert 1 light year into meter.
Physics Feb 16, 2025
4. Give reason a. Nothing is permanently at rest in the universe. b. All the gaseous masses in the universe do not change into stars, c. Black holes cannot be observed directly like other celestial bodies, d. The sun will not change into a black hole. e. Astronomical unit and lightyear are used as unit for measurement in astronomy.
Physics Feb 16, 2025
1. (a) A given product can be manufactured at a total cost function \( \mathrm{C}(\mathrm{r})=\mathrm{Re}\left[\frac{x^{2}}{100}+100 \mathrm{x}+40\right] \), where \( x \) is the number of units produced. The price at which each unit can be sold is given by \( \mathrm{P}=\mathrm{Rs} .\left[200-\frac{x}{400}\right] \) (i) Find the total revenue function and maximum revenue. (i) Find the level of output \( x \) for which profit is maximized (iii) Determine the price per unit and the total profit at this level of output (iv) Find the output level \( x \) at which average cost is minimized. (v) Also, show that the marginal cost and the average cost are equal at the level minirining aerage cost
Calculus Feb 15, 2025
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