Request a call back

Join NOW to get access to exclusive study material for best results

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
ICSE 10 - Maths
Asked by nilesh.dhote74 | 18 May, 2020, 09:22: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 10 - Maths
Asked by nilesh.dhote74 | 17 May, 2020, 10:09: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 10 - Maths
Asked by nilesh.dhote74 | 08 May, 2020, 10:11: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 10 - Maths
Asked by nilesh.dhote74 | 07 May, 2020, 10:35: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 10 - Maths
Asked by nilesh.dhote74 | 07 May, 2020, 10:22: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 10 - Maths
.
question image
Asked by Kanwaranita10 | 03 Mar, 2020, 02:48: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 10 - Maths
Asked by sonali | 23 Feb, 2018, 11:19: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 10 - Maths
Asked by hajerianvi2002 | 19 Feb, 2018, 11:38: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 10 - Maths
Asked by lovemaan5500 | 18 Jan, 2018, 01:16: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
Get Latest Study Material for Academic year 24-25 Click here
×