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| 10451. |
integral x^2+1/[(x^2+2)(x^2+3)] |
| Answer» integral x^2+1/[(x^2+2)(x^2+3)] | |
| 10452. |
Find a and b from 152 + a2 = b2. |
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Answer» Find a and b from 152 + a2 = b2. |
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| 10453. |
If xpq+xqr+xpr=p+q+r, then find the value ofx. |
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Answer» If xpq+xqr+xpr=p+q+r, then find the value ofx. |
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| 10454. |
If 2 sides of triangle are 7 cm and 5 cm , then the third side of triangle will always be less than _____ . |
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Answer» If 2 sides of triangle are 7 cm and 5 cm , then the third side of triangle will always be less than _____ . |
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| 10455. |
Find the value of a + b if 2a+5b=141. |
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Answer» Find the value of a + b if 2a+5b=141. |
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| 10456. |
if \sqrt a>\sqrt b>\sqrt c>\sqrt d,where a,b,c,dare consecutive natural number,then which is correct a)\sqrt{a }-\sqrt b>\sqrt c-\sqrt d b)\sqrt c-\sqrt d>\sqrt a-\sqrt b c)\sqrt a-\sqrt c>\sqrt b-\sqrt d d)\sqrt c-\sqrt d=\sqrt a-\sqrt b |
| Answer» if \sqrt a>\sqrt b>\sqrt c>\sqrt d,where a,b,c,dare consecutive natural number,then which is correct a)\sqrt{a }-\sqrt b>\sqrt c-\sqrt d b)\sqrt c-\sqrt d>\sqrt a-\sqrt b c)\sqrt a-\sqrt c>\sqrt b-\sqrt d d)\sqrt c-\sqrt d=\sqrt a-\sqrt b | |
| 10457. |
44.The distance between two bodies becomes 6 times more than the usual distance. The the F becomes a.36 times b.6 times c.12 times d.1/36 times |
| Answer» 44.The distance between two bodies becomes 6 times more than the usual distance. The the F becomes a.36 times b.6 times c.12 times d.1/36 times | |
| 10458. |
ABC is a right-angled triangle and O is the mid-point of the side opposite to the right angle. Prove that O is equidistant from A, B and C. |
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Answer» ABC is a right-angled triangle and O is the mid-point of the side opposite to the right angle. Prove that O is equidistant from A, B and C. |
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| 10459. |
पिछले दो वर्षों में तुमने 'काम वाले शब्दों' के बारे में जाना।इन शब्दों को क्रिया भी कहते हैं क्योंकि क्रिया का संबंध कोई काम 'करने' से है। नीचे खिचड़ी बनाने की विधि दी गई है। इसमें बीच-बीच में कुछ क्रियाएँ छूट गई हैं। उचित क्रियाओं का प्रयोग करते हुए इसे पूरा करो। छौंकना पीसना पकाना धोना परोसना भूनना। बंगाली 'खिचुरी' ( 5 व्यक्तियों के लिए) सामग्री मात्रा अदरक 20 ग्राम लहसुन 3 फाँके इलायची के दाने 3 छोटी दालचीनी 2½ से. मी. का 1 टुकड़ा पानी 4 प्याले मूँग दाल ½ प्याला सरसों का तेल 3 बड़े चम्मच तेज पत्ते 2 जीरा ½ छोटा चम्मच प्याज़ बारीक कटा हुआ मँझोला चावल धुले हुए 1 प्याला फूल गोभी बड़े-बड़े टुकड़ों में कटे हुए 2 मटर के दाने ½ प्याला धनिया पिसा हुआ 1 बड़ा चम्मच लाल मिर्च पिसी हुई ½ छोटा चम्मच चीनी 1 छोटा चम्मच घी 2 बड़े चम्मच नमक और हल्दी अंदाज़ से विधिइलायची, दालचीनी और लौंग में थोड़ा-थोड़ा पानी (एक छोटा चम्मच) डालते हुए ................ लो। अदरक और लहसुन को इकट्ठा पीसकर पेस्ट बनाओ। दाल को कड़ाही में डालो और मध्यम आँच पर सुनहरी भूरी होने तक ................. लो। अब दाल निकाल कर .................लो। तेल को कुकर में डालकर गरम करो। तेल गरम हो जाने पर तेजपत्ते और जीरा डालो। जीरा जब चटकने लगे तो प्याज़ डाल कर सुनहरा भूरा होने तक भूनो। अब अदरक-लहसुन का पेस्ट डालकर कुछ मिनट ...............। धुली हुई दाल, चावल और सब्ज़ी डालो और अच्छी तरह मिलाओ। शेष पानी (चार प्याले) डालकर एक बार चलाओ। कुकर बंद करो। तेज़ आँच पर पूर्ण पेरसर आने दो। अब आँच कम करके चार मिनट तक ..............। भाप निकल जाने पर कुकर खोलो, मसालों का पेस्ट मिलाओ। खिचुरी पर घी, हींग, जीरा, साबुत लाल मिर्च से ............. कर ............... गरमागरम।छुट्टी के दिन घर में ऐसी खिचड़ी बनाने में बड़ों की मदद करो।खाने से जुड़ी कुछ अन्य क्रियाएँ भी सोचो। |
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Answer» पिछले दो वर्षों में तुमने 'काम वाले शब्दों' के बारे में जाना। इन शब्दों को क्रिया भी कहते हैं क्योंकि क्रिया का संबंध कोई काम 'करने' से है। नीचे खिचड़ी बनाने की विधि दी गई है। इसमें बीच-बीच में कुछ क्रियाएँ छूट गई हैं। उचित क्रियाओं का प्रयोग करते हुए इसे पूरा करो।
बंगाली 'खिचुरी' ( 5 व्यक्तियों के लिए)
विधि इलायची, दालचीनी और लौंग में थोड़ा-थोड़ा पानी (एक छोटा चम्मच) डालते हुए ................ लो। अदरक और लहसुन को इकट्ठा पीसकर पेस्ट बनाओ। दाल को कड़ाही में डालो और मध्यम आँच पर सुनहरी भूरी होने तक ................. लो। अब दाल निकाल कर .................लो। तेल को कुकर में डालकर गरम करो। तेल गरम हो जाने पर तेजपत्ते और जीरा डालो। जीरा जब चटकने लगे तो प्याज़ डाल कर सुनहरा भूरा होने तक भूनो। अब अदरक-लहसुन का पेस्ट डालकर कुछ मिनट ...............। धुली हुई दाल, चावल और सब्ज़ी डालो और अच्छी तरह मिलाओ। शेष पानी (चार प्याले) डालकर एक बार चलाओ। कुकर बंद करो। तेज़ आँच पर पूर्ण पेरसर आने दो। अब आँच कम करके चार मिनट तक ..............। भाप निकल जाने पर कुकर खोलो, मसालों का पेस्ट मिलाओ। खिचुरी पर घी, हींग, जीरा, साबुत लाल मिर्च से ............. कर ............... गरमागरम। छुट्टी के दिन घर में ऐसी खिचड़ी बनाने में बड़ों की मदद करो। खाने से जुड़ी कुछ अन्य क्रियाएँ भी सोचो। |
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| 10460. |
Draw a graph for thefollowing.(i) Side of square (in cm) 2 3 3.5 5 6 Perimeter (in cm) 8 12 14 20 24 Isit a linear graph?(ii) Side of square (in cm) 2 3 4 5 6 Area (in cm2) 4 9 16 25 36 Isit a linear graph? |
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Answer» Draw a graph for the (i)
Is (ii)
Is |
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| 10461. |
Suppose that the radius r and area A = pi r square are differentiable function at t .write an equation that relates dA/st to dr/st |
| Answer» Suppose that the radius r and area A = pi r square are differentiable function at t .write an equation that relates dA/st to dr/st | |
| 10462. |
Question 6(vii)Using identities, evaluate:78×82 |
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Answer» Question 6(vii) Using identities, evaluate: 78×82 |
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| 10463. |
The length of the longest rod that can be fitted in a cubical room of edge length 4 cm is: |
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Answer» The length of the longest rod that can be fitted in a cubical room of edge length 4 cm is: |
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| 10464. |
Using Euler's formula, find the number of edges in a polyhedron if the number of faces is 20 and the number of vertices is12. |
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Answer» Using Euler's formula, find the number of edges in a polyhedron if the number of faces is 20 and the number of vertices is12. |
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| 10465. |
If the figure "ABCD" is a parallelogram. Find the value of x and y? |
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Answer» If the figure "ABCD" is a parallelogram. Find the value of x and y?
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| 10466. |
Find the area of the field ABCDEFG shown in the figure, if GI, JC, FH, and GE are 1 cm, 2 cm, 4 cm, and 5 cm respectively. |
Answer» Find the area of the field ABCDEFG shown in the figure, if GI, JC, FH, and GE are 1 cm, 2 cm, 4 cm, and 5 cm respectively. |
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| 10467. |
On multiplying ___ by 3−5, we get 92. |
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Answer» On multiplying ___ by 3−5, we get 92. |
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| 10468. |
how to add non terminating repeating decimals?? |
| Answer» how to add non terminating repeating decimals?? | |
| 10469. |
If \overset⇀ P + \overset⇀ Q= \overset⇀ P- \overset⇀ Q, then 1) \overset⇀ P= 0 2) Q= vector 0 |
| Answer» If \overset⇀ P + \overset⇀ Q= \overset⇀ P- \overset⇀ Q, then 1) \overset⇀ P= 0 2) Q= vector 0 | |
| 10470. |
What is neighbouring group participation? In which cases we should consider it? |
| Answer» What is neighbouring group participation? In which cases we should consider it? | |
| 10471. |
Choose the correct option:The point (4, 0) lie on the line _____________A. y − x = 0B. y = 0C. x = 0D. y + x = 0 |
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Answer» Choose the correct option: The point (4, 0) lie on the line _____________ A. y − x = 0 B. y = 0 C. x = 0 D. y + x = 0 |
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| 10472. |
Ajay's father asks him to find the area covered by the grass in his garden. Ajay is informed that the shape of the area covered by the grass is square which has a diagonal length of 16√2 meters. What is the area calculated by Ajay? |
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Answer» Ajay's father asks him to find the area covered by the grass in his garden. Ajay is informed that the shape of the area covered by the grass is square which has a diagonal length of 16√2 meters. What is the area calculated by Ajay? |
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| 10473. |
What do the numbers 1, 16 and 49 have in common? |
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Answer» What do the numbers 1, 16 and 49 have in common? |
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| 10474. |
Let a, b, c be positive real numbers such that a+b+c=1. Prove thata/(a^2 + b^3 + c^3) + b/(b^2 + c^3 + a^3) + c/(c^2 + a^3 + b^3) < or = 1/(5abc) |
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Answer» Let a, b, c be positive real numbers such that a+b+c=1. Prove that a/(a^2 + b^3 + c^3) + b/(b^2 + c^3 + a^3) + c/(c^2 + a^3 + b^3) < or = 1/(5abc) |
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| 10475. |
In which of the following figures, the coloured portion does not represent quarter of the whole figure? |
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Answer» In which of the following figures, the coloured portion does not represent quarter of the whole figure? |
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| 10476. |
Check the distributive property for the following triples of rational numbers: |
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Answer» Check the distributive property for the following triples of rational numbers:
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| 10477. |
Question 44 State whether the following statement is True or False. A polyhedron with least number of faces is known as a triangular pyramid. |
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Answer» Question 44 State whether the following statement is True or False. A polyhedron with least number of faces is known as a triangular pyramid. |
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| 10478. |
Pair the numbers with their respective additive inverses. |
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Answer» Pair the numbers with their respective additive inverses. |
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| 10479. |
Represent these numbers on the number line.(i) (ii) |
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Answer» Represent these numbers on the number line. (i) |
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| 10480. |
Find the solution of 2x - 3 = 7. |
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Answer» Find the solution of 2x - 3 = 7. |
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| 10481. |
Amit had a poster made from a picture of his dog Tommy. The poster is 5 times the size of the picture. If the poster is 160 cm. in height, what was the height of Amit's original picture of Tommy (in centimeters)? |
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Answer» Amit had a poster made from a picture of his dog Tommy. The poster is 5 times the size of the picture. If the poster is 160 cm. in height, what was the height of Amit's original picture of Tommy (in centimeters)? |
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| 10482. |
Evaluate : 3√64×729 |
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Answer» Evaluate : |
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| 10483. |
There is a narrow rectangular plot, reserved for a school, in Mahuli village. The length and breadth of the plot are in the ratio 11:4. At the rate Rs 100 per metre it will cost the village panchayat Rs 75, 000 to fence the plot. What are the dimensions of the plot? |
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Answer» There is a narrow rectangular plot, reserved for a school, in Mahuli village. The length and breadth of the plot are in the ratio 11:4. At the rate Rs 100 per metre it will cost the village panchayat Rs 75, 000 to fence the plot. What are the dimensions of the plot? |
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| 10484. |
Question 35A die is tossed two times. The number of possible outcomes is(a) 12(b) 24(c) 36(d) 30 |
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Answer» Question 35 A die is tossed two times. The number of possible outcomes is |
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| 10485. |
Question 1(viii)Use a suitable identity to get each of the following products:(−a+c)(−a+c) |
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Answer» Question 1(viii) Use a suitable identity to get each of the following products: (−a+c)(−a+c) |
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| 10486. |
Please answer the question 21 with explanation. |
| Answer» Please answer the question 21 with explanation. | |
| 10487. |
How fast do you need to travel to go 150 km in 3 hours? |
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Answer» How fast do you need to travel to go 150 km in 3 hours? |
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| 10488. |
A dog at point A goes in pursuit of a fox 30 m away. The dog makes 2m and the fox, 1m long leaps. If the dog makes two leaps to the fox's three, at what distance from A will the dog catch up with the fox ? |
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Answer» A dog at point A goes in pursuit of a fox 30 m away. The dog makes 2m and the fox, 1m long leaps. If the dog makes two leaps to the fox's three, at what distance from A will the dog catch up with the fox ? |
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| 10489. |
Sophia was counting the number of crystals in 5kg of sugar. Can you help her to find the number of crystals in 5kg without actual counting, if 12kg of sugar contains 24×104 crystals? |
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Answer» Sophia was counting the number of crystals in 5kg of sugar. Can you help her to find the number of crystals in 5kg without actual counting, if 12kg of sugar contains 24×104 crystals? |
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| 10490. |
12. Calculate the area of quadrilateral ABCD is which a b equals to 32 centimetre AD Equal to 24 centimetre angle A equals to 90 degree and BC = CD = 52 centimetre |
| Answer» 12. Calculate the area of quadrilateral ABCD is which a b equals to 32 centimetre AD Equal to 24 centimetre angle A equals to 90 degree and BC = CD = 52 centimetre | |
| 10491. |
The perimeter of an equilateral triangle is 60m. The area is |
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Answer» The perimeter of an equilateral triangle is 60m. The area is |
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| 10492. |
If f(x)=3x-5, Prove that f is a bijection and its inverse |
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Answer» If f(x)=3x-5, Prove that f is a bijection and its inverse |
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| 10493. |
The diameter of a wheel of a bus is 90 cm which makes 315 revolutions per minute. Determine it's speed in kilometers per hour.(Use π=22/7) |
| Answer» The diameter of a wheel of a bus is 90 cm which makes 315 revolutions per minute. Determine it's speed in kilometers per hour.(Use π=22/7) | |
| 10494. |
Construct an isosceles triangle whose altitude is 4.5 cm and vertex angle is 70°. |
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Answer» Construct an isosceles triangle whose altitude is 4.5 cm and vertex angle is 70°. |
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| 10495. |
How many lines of symmetry can be drawn in a regular pentagon? |
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Answer» How many lines of symmetry can be drawn in a regular pentagon? |
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| 10496. |
Which of the following has the formula 12 {(sum of parallel sides) × h} for area ? |
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Answer» Which of the following has the formula 12 {(sum of parallel sides) × h} for area ? |
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| 10497. |
(i) In ∆ABC, ∠A = 90°. Which is its longest side?(ii) In ∆ABC, ∠A = ∠B = 45°. Which is its longest side?(iii) In ∆ABC, ∠A = 100° and ∠C = 50°. Which is its shortest side? |
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Answer» (i) In ∆ABC, ∠A = 90°. Which is its longest side? (ii) In ∆ABC, ∠A = ∠B = 45°. Which is its longest side? (iii) In ∆ABC, ∠A = 100° and ∠C = 50°. Which is its shortest side? |
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| 10498. |
Question 187Construct a parallelogram ABCD in which AB = 4 cm, BC = 5 cm and ∠B=60∘. |
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Answer» Question 187 Construct a parallelogram ABCD in which AB = 4 cm, BC = 5 cm and ∠B=60∘. |
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| 10499. |
A burger outlet offers 15% discount on a ₹280 burger. Find the discount offered (in rupees) |
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Answer» A burger outlet offers 15% discount on a ₹280 burger. Find the discount offered (in rupees) |
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| 10500. |
Good evening mentor is square root of √169+100 is 23 If no then please explain how to solve it Thank you |
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Answer» Good evening mentor is square root of √169+100 is 23 If no then please explain how to solve it Thank you |
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(ii) 