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Nepal
\( \left(y^{2}-y-12\right) \) by \( (y-4) \)
Algebra Feb 15, 2025
\[ \text{Find } 2011^2 - 2010^2 \text{?} \]
Algebra Feb 15, 2025
(a) यदि \( x=2(a+b)^{0} \) भए \( x \) को मान पत्ता लगाउनुहो If \( x=2(a+b)^{0} \), then find the value of \( x \). [ 1 K\( ][ \) Ans: (b) सरल गर्नुहोस् (Simplify): \( \frac{2 x}{x+2 y}+\frac{8 y^{2}}{x^{2}-4 y^{2}} \) [2U] [Ans: \( \frac{2\left(x^{2}-2 x y+4 y\right.}{x^{2}-4 y^{2}} \) दुईओटा सड्ख्याहरूक्को योगफल 15 र फरक 3 छ। The su of two numbers is 15 and difference is 3 . (a) ठुलो सड्ख्यालाई \( x \) र सानो सड्ख्यालाई \( y \) माने समीकऱणहरू बनाउनुहोस् । Make equations supposir \( x \) for big number and \( y \) for small number. [1K] [Ans: \( x+y=15, x-y= \) (b) लेखाचित्रको प्रयोग गरी माथिका समीकरणहरूको ह गर्नुहोस् I Solve the above equations by usin graphical method. \[ \text { [2A] [Ans: } x=9, y=6 \] यदि दुई बीजीय अभिव्यञ्जक क्रमश: \( x^{2}-5 x+6 \) र \( x^{2}-9 \) छ भने, If two algebraic expressions are \( x^{2}-5 x+6 \) anx
Algebra Feb 14, 2025
5. Observe the following sequences and answer the questions. \( \begin{array}{lll}\text { (a) } 4,7,12,19, \ldots & \text { (b) } 1,7,17,31, \ldots . & \text { (c) } 2,1,-2,-7 \\ \text { (i) Add next three terms in each sequence. }\end{array} \) (ii) Find the general term of the given sequences. 6tudy the following sequences and answer of the questions. \( \begin{array}{lll}\text { (a) } 1,2,3,4, \ldots & \text { (b) } 8,3,-2,-7, \ldots & \text { (c) } 5,11,19 \\ \text { (d) } \frac{3}{5}, \frac{4}{7}, \frac{6}{9}, \frac{9}{11}, \ldots & \text { (e) } 0.28,0.35,0.42,0.49, \ldots & \text { (f) } \frac{3}{2048}, \frac{1}{10}\end{array} \) \( \begin{array}{ll}\text { (i) Find the } \mathrm{n}^{\text {th }} \text { term of the given sequences. } & \end{array} \)
Algebra Feb 14, 2025
4. Find the general term of the following sequence. Also, find the \( 15^{\text {th }} \) term of each ser (a) \( 8,11,14,17, \ldots \) (h) \( t_{n}=\frac{(-1)^{n}(3 n+1)}{2 n} \) (i) \( \mathrm{u}_{\mathrm{n}}=(-1)^{n}\left(\mathrm{n}^{2}+\right. \) 5. Observe the following sequences and answer the questions. (a) \( 4,7,12,19, \ldots \) (b) \( 1,7,17,31, \ldots \) (c) \( 2,1,-2,-7, \ldots \) (i) Add next three terms in each sequence.
Pre Algebra Feb 14, 2025
3. Solve \( \triangle \mathrm{ABC} \) if (a) \( \angle \mathrm{B}=60^{\circ}, \angle \mathrm{A}=30^{\circ} \) and \( \mathrm{c}=40 \) (b) \( \angle \mathrm{A}=60^{\circ}, \angle B=30^{\circ} \) and \( B C=5 \sqrt{3} \)
Trigonometry Feb 14, 2025
(b) \( (3+\sqrt{5}) \cdot(4+\sqrt{5}) \)
Algebra Feb 14, 2025
1. शी शारदा माध्यमिक विद्यालयको कक्षा 10 मा अध्ययनरत विद्यार्थीहरूलाई पोखरा, लुम्बिनी र इलाममधे कुन ठार्उमा गैक्षिक भ्षमण जान उपयुक्त हुन्छ भनी गरिएको सर्वेक्षणमा 40 जनाले पोखरा, 30 जनाले लुम्बिनी र 45 जनाले इलाम जान उपयुक्त हुने बताए। उक्त कक्षाका 15 जना विद्यार्थीहरूले तीनओटे ठार्ड उपयुक्त हुने बताउदा 5 जनाले कुनै राय नै व्यक्त गरेनन् । In a survey of grade 10 students of Shree Sharada Secondary School to choose a place for educational tour among Pokhara, Lumbini and Illam, it is found that 40 suggested Pokhara, 30 suggested Lumbini and 45 suggested Illam, whereas 15 suggested all three places and 5 did not suggest any of the three places. (a) P, L र I ले क्रमश: पोखरा, लुम्बिनी र इलाम उपयुक्त हुन्छ भन्ने विद्यार्थीहरूको सइ्य्यालाई जनाउँछ भने सबै ठाजँ उपयुक्त हुन्छ भन्ने विद्यार्थीको समूहलाई गणनात्मक सङ्केतमा लेखनुहोस् । If P, L and I represent the number of students who suggested Pokhara, Lumbini and Illam respectively, write the above sets of the student who suggested all the places in the form of cardinality. (K) [1] [Ans: \( \mathrm{n}(\mathrm{P} \cap \mathrm{L} \cap \mathrm{I})=15 \) ] (b) माथिको जानकारीलाई भेनचित्रमा प्रस्तुत गर्नुहोस्। Represent the above information in Venn-diagram. (U) (c) शारदा माध्यमिक विद्यालयमा कक्षा 10 मा कति जना विद्यार्थी अध्ययनरत रहेछन् ? गणना गर्नुहोस् । How many students are studying in class 10 in Sharada Secondary School? Calculate. (A) [3] [Ans: \( n(U)=90 \) ] (d) यदि सर्वेक्षणमा राय नै व्यक्त नगरेका 5 जना विद्यार्थीले लुम्बिनी उपयुक्त स्थान हो भनेको भए पोखरा मात्र उपयुक्त स्थान भन्ने र लुम्बिनी मात्र उपयुक्त स्थान भन्ने विद्यार्थीहरूको अनुपात कति हुने थियो ? If the five students who did not suggest any place suggested that Lumbini is the proper place, what would be the ratio of the students who suggested Pokhara only and Lumbini only? (HA) [1] [Ans: \( \left.\mathrm{n}_{0}(\mathrm{P}): \mathrm{n}_{0}(\mathrm{~L})=5: 4\right] \)
Statistics Feb 14, 2025
२. डिकुर प्रथा भनेको के हो ? 3. तपाईको समुदायमा रहेको सांस्कृतिक विविधताको कुनै दुई उदाहरण लेख्नुहोस्। ૪. विधेयक भनेको के हो ? x. लागु पदार्थ दुर्व्यसनी विरुद्ध सचेतना जगाउने एउटा आकर्षक नारा लेखनुहोस्। ६. साभाजिक समस्या समाधान गर्न जनचेतनाको भूमिका एक वाक्यमा लेखनुहोस्। ७. सरकारी आयका कुनै दुई सोत उल्लेख गर्नुहोस्। द. मौद्रिक कारोबारलाई अभौ बढी सुरक्षित र सहज बनाउन अनलाइन वैङ्किड जस्ता सुविधा उपलब्ध छन् तर यस्ता सेवा पनि पूर्ण रूपमा सुरक्षित हुन नसकेको सुनिन्छ। यो समस्या समाधान गर्ने कुनै दुई उपाय उल्लेख गर्नुहोस्। ९. विमस्टेकवाट नेपालले कस्तो फाइदा लिन सक्छ ? कुनै एव वुँदामा उल्लेख गर्नुहोस् । समूह ख ( \( -x \) 3 \( = \)
Social Sciences Feb 13, 2025
ग0 \( =(4,7) \).) यदाउन (Find the value of \( x \) and y if \( (3 x-2,2 \mathrm{y}-1) \) \( \mathrm{P}(x)=x^{2}-x-12 \) र \( \mathrm{Q}(x)=x+3 \) भए \( \mathrm{P}(x) \div \mathrm{Q}(x) \) 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.)
Algebra Feb 13, 2025
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