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Home / Doubts and Solutions/JEE/Mathematics

IF THE POINT (-3,a) IS THE IMAGE OF THE POINT (1,a+4) IN THE POINT (b,1) .FIND YHE VALUES OF a & b.

Asked by neeraj.unnao 23rd October 2016, 4:28 PM
Answered by Expert
Answer:
If space the space point space left parenthesis straight x subscript 1 comma straight y subscript 1 right parenthesis space is space the space image space of space the space point space left parenthesis straight x subscript 2 comma straight y subscript 2 right parenthesis space in space the space point space left parenthesis straight p comma space straight q right parenthesis space is space given space by comma straight p space equals space fraction numerator straight x subscript 1 plus straight x subscript 2 over denominator 2 end fraction space space and space straight q space equals space fraction numerator straight y subscript 1 plus straight y subscript 2 over denominator 2 end fraction The space point space left parenthesis negative 3 comma space 4 right parenthesis space is space the space image space of space the space point space left parenthesis 1 comma space straight a plus 4 right parenthesis space in space the space point space left parenthesis straight b comma space 1 right parenthesis rightwards double arrow space space space straight b space equals space fraction numerator negative 3 plus 1 over denominator 2 end fraction space space and space space space 1 space equals space fraction numerator straight a plus straight a plus 4 over denominator 2 end fraction rightwards double arrow space space space straight b space equals space minus 1 space space and space space straight a space equals space minus 1 The space value space of space straight a space equals space minus 1 space and space straight b space equals space minus 1.
Answered by Expert 24th October 2016, 10:40 AM
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