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CBSE Class 11-science Answered

the circumcentre of a triangle formed by  the line xy+2x+2y=0 and x+y+2=0 is?
Asked by akanshakhanna91 | 29 Jun, 2015, 09:31: PM
answered-by-expert Expert Answer
E q u a t i o n space o f space p a i r space o f space l i n e s space i s space g i v e n space a s x y plus 2 x plus 2 y plus 4 equals 0 R e w r i t i n g space t h e space a b o v e space e q u a t i o n comma space w e space h a v e comma x open parentheses y plus 2 close parentheses plus 2 open parentheses y plus 2 close parentheses equals 0 rightwards double arrow open parentheses x plus 2 close parentheses open parentheses y plus 2 close parentheses equals 0 rightwards double arrow x plus 2 equals 0 space a n d space y plus 2 equals 0 rightwards double arrow x equals negative 2 space a n d space y equals negative 2 O b s e r v e space t h e space f o l l o w i n g space g r a p h space o f space t h r e e space l i n e s comma x equals negative 2 comma space y equals negative 2 space a n d space x plus y plus 2 equals 0
T h u s comma space t h e space t r i a n g l e space A B C space i s space a space r i g h t space t r i a n g l e. H e n c e space t h e space c i r c u m c e n t r e space o f space t h e space t r i a n g l e space i s space t h e space m i d p o i n t space o f space t h e space h y p o t e n u s e. T h e r e f o r e comma space D open parentheses negative 1 comma space minus 1 close parentheses comma space t h e space m i d p o i n t space o f space A space a n d space C comma space i s space t h e space c i r c u m c e n t r e space o f space t h e space t r i a n g l e space A B C.
Answered by Vimala Ramamurthy | 01 Jul, 2015, 10:00: AM

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CBSE 11-science - Maths
Three points P(h,k), Q (x,y) and R (x,y) lie on a line show that (h-x) (y-y)= (k-y) (x-x),
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CBSE 11-science - Maths
determine graphically the vertices of the traingle 3x+3y=10
Asked by bhunias174 | 30 Mar, 2022, 09:45: PM
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CBSE 11-science - Maths
find a and b so that the lines ax+8y+b=0,2x+ay-1=0 may be parallel or perpendicular  
Asked by ankitakhokhar56 | 06 Dec, 2019, 02:51: PM
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CBSE 11-science - Maths
If space p space i s space t h e space l e n g t h space o f space p e r p e n d i c u l a r space d r a w n space f r o m space o r i g i n space t o space l i n e space x over a plus y over b space equals space 1 space a n d space a squared comma p squared comma b squared space a r e space i n space A. P. space comma space t h e n space p r o v e space t h a t space a to the power of 4 plus b to the power of 4 space equals space 0 space.
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CBSE 11-science - Maths
Find the coordinates of point C, which divides the line segment joining the points D (-2, 5) and E (4, 6) in the ratio 2 : 3.
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
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CBSE 11-science - Maths
If the slope of line joining the points (2, 3) and (4, -5) is equal to the slope of line joining the points (x, 5) and (5, 6). Find the value of x.
Asked by Topperlearning User | 26 Sep, 2014, 09:43: AM
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CBSE 11-science - Maths
Find the slope of line which passes through the point (5, 6) and the mid-point of line joining the points (4, 6) and (-3, 7).
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
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CBSE 11-science - Maths
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Asked by Topperlearning User | 26 Sep, 2014, 01:57: PM
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CBSE 11-science - Maths
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CBSE 11-science - Maths
Find a point on the Y-axis, which is equidistant from the points (-3, 4) and (5, 6).
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