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Expansion of (x+a) whole square is 51..?

Posted by Aman Kanda 6 years ago

CBSE > Class 11 > Mathematics

1 answers

Sparsh Yadav 6 years ago

It cannot be expanded .only we can find some terms such as first term ,last termmiddle ,general terms

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Find the equation of the circle passing through the point (2,3) and (-1,1) and whose center is on the line x-3y-11=0.

Posted by Satyam Singh 6 years ago

CBSE > Class 11 > Mathematics

1 answers

Aditya Vishwakarma 6 years ago

The equation of the circle is, (x – h)2 + (y – k)2 = r2 ….(i) Since the circle passes through point (2, 3) ∴ (2 – h)2 + (3 – k)2 = r2 ⇒ 4 + h2 – 4h + 9 + k2 – 6k = r2 ⇒ h2+ k2 – 4h – 6k + 13 = r2 ….(ii) Also, the circle passes through point (-1, 1) ∴ (-1 – h)2 + (1 – k)2 = r2 ⇒ 1 + h2 + 2h + 1 + k2 – 2k = r2 ⇒ h2 + k2 + 2h – 2k + 2 = r2 ….(iii) From (ii) and (iii), we have h2 + k2 – 4h – 6k + 13 = h2 + k2 + 2h – 2k + 2 ⇒ -6h – 4k = -11 ⇒ 6h + 4k = 11 …(iv) Since the centre (h, k) of the circle lies on the line x – 3y-11 = 0. ∴ h – 3k – 11 = 0 ⇒ h -3k = 11 …(v) Solving (iv) and (v), we get h = \frac { 7 }{ 2 } and k = \frac { -5 }{ 2 } Putting these values of h and k in (ii), we get \left( \frac { 7 }{ 2 } \right) ^{ 2 }+\left( \frac { -5 }{ 2 } \right) ^{ 2 }-\frac { 4\times 7 }{ 2 } -6\times \frac { -5 }{ 2 } +13={ r }^{ 2 } ⇒ \frac { 49 }{ 4 } +\frac { 25 }{ 4 } -14+15+13 ⇒ { r }^{ 2 }=\frac { 65 }{ 2 } Thus required equation of circle is ⇒ \left( x-\frac { 7 }{ 2 } \right) ^{ 2 }+\left( y+\frac { 5 }{ 2 } \right) ^{ 2 }=\frac { 65 }{ 2 } ⇒ { x }^{ 2 }+\frac { 49 }{ 4 } -7x+{ y }^{ 2 }+\frac { 25 }{ 4 } +5y=\frac { 65 }{ 2 } ⇒ 4x2 + 49 – 28x + 4y2 + 25 + 20y = 130 ⇒ 4x2 + 4y2 – 28x + 20y – 56 = 0 ⇒ 4(x2 + y2 – 7x + 5y -14) = 0 ⇒ x2 + y2 – 7x + 5y -14 = 0.

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To verify that for two sets A and B, n (A×B) = pq and the total number of relations from A to B is 2pq, where n(A) = p and n(B) = q.

Posted by Suraj Atram 6 years ago

CBSE > Class 11 > Mathematics

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In an A. P 8,11,14,... Find Sn-Sn-1

Posted by Rp. Interiors 6 years ago

CBSE > Class 11 > Mathematics

2 answers

Poshika Dhir 6 years ago

In this AP a=8and d=11-8=3 Sn=n/2[2a+(n-1)d] =n/2[2x8+(n-1)3] =n/2 [16+(n-1)3] Replace n by n-1 Sn-1=n-1/2[2x8+(n-1-1)3] =n-1/2[16+(n-2)3] Now Sn-Sn-1=n/2[16+(n-1)3]-n-1/2[+(n-2)3] Now on solving you will get the answer hope it will help you thanks

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Chiru Yavvari 6 years ago

Vnnk

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Limited divided by X equal to sin x sin 2x + sin 60 / sin 5x - sin 3x

Posted by Satish Bagwan 6 years ago

CBSE > Class 11 > Mathematics

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The coefficient of three consecutive terms in the expansion of (1+a)n are in the ratio 1: 7: 41 Find n

Posted by Rohit Kumar 6 years ago

CBSE > Class 11 > Mathematics

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Sin (x+y) Hence prove sin (x-y)

Posted by Mausam Chahal 6 years ago

CBSE > Class 11 > Mathematics

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Find value of sin 18°

Posted by Mausam Chahal 6 years ago

CBSE > Class 11 > Mathematics

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Cos 20°+cos 100°+cos 140° find value

Posted by Mausam Chahal 6 years ago

CBSE > Class 11 > Mathematics

0 answers

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How to solve whole maths paper in half hour......tell me fast

Posted by Madhur Gupta 6 years ago

CBSE > Class 11 > Mathematics

1 answers

Madhur Gupta 6 years ago

Just take up a print out of whole answersheet lol

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5 cos square theta plus 7 sin square theta minus 6

Posted by Ishika Garg 6 years ago

CBSE > Class 11 > Mathematics

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Express 4 cosA . cosB . cosC as the sum of four cosines....? Plzzz help???

Posted by Puja Sahoo? 6 years ago

CBSE > Class 11 > Mathematics

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Explain cauchy swartzy inequality

Posted by Renuka Priyadarshini 6 years ago

CBSE > Class 11 > Mathematics

1 answers

Aditya Vishwakarma 6 years ago

Cauchy-Schwarz inequality the theorem that the square of the integral of the product of two functions is less than or equal to the product of the integrals of the square of each function

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Cauchy swartzy inequality

Posted by Renuka Priyadarshini 6 years ago

CBSE > Class 11 > Mathematics

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Aditya Vishwakarma 6 years ago

Cauchy-Schwarz inequality the theorem that the square of the integral of the product of two functions is less than or equal to the product of the integrals of the square of each function

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The gate receipts at the comedy show amounted rs 9500 on first night and showed a drop of rs 250 every succeeding night.. If the operational expenses of the show are rs 2000 a day then find on which night the show ceases to be profitable?

Posted by Ujjwal Thakur 6 years ago

CBSE > Class 11 > Mathematics