CBSE Class 11-science Answered

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Asked by Sunil Soni | 10 Aug, 2016, 07:31: PM

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begin mathsize 20px style For space the space straight D space subpart. Consider space the space given space figure space shown space below. end style

begin mathsize 24px style We space can space see space that space OP space is space perpendicular space to space BC Now space the space slope space of space OP space where space straight O left parenthesis 0 comma 0 right parenthesis space and space straight P left parenthesis straight a comma straight b right parenthesis space equals space fraction numerator straight b minus 0 over denominator straight a minus 0 end fraction equals straight b over straight a As space OP space perpendicular space BC space rightwards double arrow slope space of space BC equals fraction numerator negative straight a over denominator straight b end fraction space space space space space space space open square brackets space if space straight m subscript 1 space is space slope space of space line space straight l subscript 1 space and space straight m subscript 2 space end subscript is space slope space of space line space straight l subscript 2 space then space straight m subscript 1 cross times straight m subscript 2 equals space 1 close square brackets Now space equation space of space the space Chord space BC space with space straight P left parenthesis straight a comma space straight b right parenthesis space as space the space mid minus point space and space slope space fraction numerator negative straight a over denominator straight b end fraction space is space rightwards double arrow straight y minus straight b equals space fraction numerator negative straight a over denominator straight b end fraction open parentheses straight x minus straight a close parentheses space rightwards double arrow by plus ax equals straight a squared plus straight b squared space Now space we space know space that space angle OPB space equals space 90 to the power of straight o space space and space straight P left parenthesis straight a comma space straight b right parenthesis space is space the space mid minus point space on space the space chord space BC. rightwards double arrow OP thin space equals space rcos 45 to the power of straight o equals straight r cross times fraction numerator 1 over denominator square root of 2 end fraction equals fraction numerator straight r over denominator square root of 2 end fraction space space space space space space space space open square brackets straight r space is space the space radius space of space the space given space circle close square brackets so comma space straight a squared plus straight b squared space equals straight r squared over 2 Hence space the space locus space of space the space mid minus point space is space straight x squared plus straight y squared equals straight r squared over 2 Since space in space our space case space straight r equals space 2 space from space the space equation space of space space space straight x squared plus straight y squared equals 4 rightwards double arrow OP thin space equals space 2 cos 45 to the power of straight o equals 2 cross times fraction numerator 1 over denominator square root of 2 end fraction equals square root of 2 so comma space straight x squared plus straight y squared equals space open parentheses square root of 2 close parentheses squared equals 2 equals space straight K space space space space space NOTE colon space Please space ask space one space query space at space straight a space time. end style

Answered by Tripti Agrawal | 11 Aug, 2016, 12:18: PM

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CBSE 11-science - Maths

find the coordinates of the centre of a circle passing through the points(0,0),(-2,1)and(-3,2).also , find its radius .

Asked by shakyajayprakash2006 | 08 Jun, 2022, 05:26: PM

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CBSE 11-science - Maths

Examine whether the point (4, 5) lies outside or inside the circle of equation x^2+y^2-2x-3=0

Asked by sbipo2000 | 23 Feb, 2020, 03:43: PM

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CBSE 11-science - Maths

SIR PLEASE HELP ME WITH THIS QUESTIONS : 1. Find the equation of the tangent to the circle x^2+y^2=16 drawn from the point (1,4). 2. How many triangles can be formed by joining any 3 of the 9 points when i) no 3 of them are collinear? ii) 5 of them are collinear? 3. AB is a line of fixed length, 6 units, joining the points A(t,0) and B which lies on thepositive y axis. P is a point on AB distant 2 units from A. Express the coordinates of B and P in terms of t. Find the locus of P as t varies. 4. In a triangle ABC, (b^2 - c^2) / (b^2 + c^2) = sin(B - C) / sin(B + C), prove that it is either a right-angled or isoceles triangle.

Asked by kandappan | 08 Feb, 2020, 11:29: AM

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CBSE 11-science - Maths

Asked by gauravmore604 | 04 Nov, 2019, 03:31: PM

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CBSE 11-science - Maths

The locus of point for which sum of the squares of distances from cordinate axes is 25 is

Asked by Tejravi969 | 19 Aug, 2019, 06:08: AM

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CBSE 11-science - Maths

A stadium is in circular shape. Within the stadium some areas have been allotted for a hockey court and a javelin range, as given in the figure. Assume the shape of the hockey court and the javelin range to be square and triangle, resp. The curators would like to accommodate a few more sports in the stadium. Help them by measuring the unallocated region within the stadium.(the radius of the stadium is 200 mts.)

Asked by rushabh1234 | 23 Jan, 2019, 08:59: PM

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CBSE 11-science - Maths

Find the equation of the circle with centre (-2,3) and radius 4.

Asked by Topperlearning User | 30 Apr, 2014, 11:08: AM

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CBSE 11-science - Maths

Find the centre and radius of the circle given by the equation (x + 5)² + (y + 1 )² = 9

Asked by Topperlearning User | 25 Apr, 2014, 09:39: AM

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CBSE 11-science - Maths

Find the co-ordinates of the centre and the radius of the circle given by the equation x² + y² + 6x - 8y - 24 = 0.

Asked by Topperlearning User | 25 Apr, 2014, 09:11: AM

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CBSE 11-science - Maths

Find the equation of a circle whose coordinates of the end points of the diameter are (-3,2) and (2,-4).

Asked by Topperlearning User | 25 Apr, 2014, 09:11: AM

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CBSE Class 11-science Answered

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