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ICSE Class 10 Answered

Show that the points(a,b),(a-+3,b+4),(a-1,b+7) and (a-4,b+3) are the vertices of a parallelogram.
Asked by hajerianvi2002 | 19 Feb, 2018, 11:38: PM
answered-by-expert Expert Answer
begin mathsize 16px style Let space straight P left parenthesis straight a comma straight b right parenthesis comma space straight Q left parenthesis straight a plus 3 comma straight b plus 4 right parenthesis comma space straight R left parenthesis straight a minus 1 comma straight b plus 7 right parenthesis comma space straight S left parenthesis straight a minus 4 comma straight b plus 3 right parenthesis Slope space of space PQ equals fraction numerator straight b plus 4 minus straight b over denominator straight a plus 3 minus straight a end fraction equals 4 over 3 Similarly space find space slope space of space QR comma space RS comma space PS Slope space of space QR equals fraction numerator negative 3 over denominator 4 end fraction Slope space of space RS equals 4 over 3 Slope space of space PS equals fraction numerator negative 3 over denominator 4 end fraction Hence comma space slope space of space PQ equals slope space of space RS Slope space of space QR equals Slope space of space PS Hence comma space PQRS space is space straight a space parallelogram. end style
Answered by Sneha shidid | 20 Feb, 2018, 09:27: AM

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