Ask a Doubt
Request a call back

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

ICSE Class 10 Answered

In what ratio does the line x-y-2=0 divide the line segment joining the points (3,-1) and (8,9)? Also find the point of division .
Asked by Adrija | 12 Nov, 2017, 03:42: PM
answered-by-expert Expert Answer
begin mathsize 16px style Let space straight A identical to left parenthesis 3 comma negative 1 right parenthesis space and space straight B identical to left parenthesis 8 comma 9 right parenthesis Let space the space line space straight x minus straight y minus 2 equals 0 space divide space the space line space segment space AB space at space point space straight C left parenthesis straight x comma straight y right parenthesis space in space the space ratio space straight m colon straight n. By space section space formula comma straight C left parenthesis straight x comma straight y right parenthesis equals open square brackets fraction numerator straight m cross times 8 plus straight n cross times 3 over denominator straight m plus straight n end fraction comma space fraction numerator straight m cross times 9 plus straight n cross times left parenthesis negative 1 right parenthesis over denominator straight m plus straight n end fraction close square brackets equals open square brackets fraction numerator 8 straight m plus 3 straight n over denominator straight m plus straight n end fraction comma space fraction numerator 9 straight m minus straight n over denominator straight m plus straight n end fraction close square brackets Since space point space straight C left parenthesis straight x comma straight y right parenthesis space lie space on space line space straight x minus straight y minus 2 equals 0 comma fraction numerator 8 straight m plus 3 straight n over denominator straight m plus straight n end fraction minus fraction numerator 9 straight m minus straight n over denominator straight m plus straight n end fraction minus 2 equals 0 rightwards double arrow 8 straight m plus 3 straight n minus 9 straight m plus straight n minus 2 straight m minus 2 straight n equals 0 rightwards double arrow negative 3 straight m plus 2 straight n equals 0 rightwards double arrow 3 straight m equals 2 straight n rightwards double arrow straight m over straight n equals 2 over 3 Hence comma space line space straight x minus straight y minus 2 equals 0 space divide space the space line space segment space joining space straight A left parenthesis 3 comma negative 1 right parenthesis space and space straight B left parenthesis 8 comma 9 right parenthesis space in space the space ratio space 2 colon 3. end style
Answered by | 07 Dec, 2017, 02:25: PM

Application Videos

Concept Videos

Multiple Choice Questions Practice Test
Answered Unanswered My Questions My Answers
ICSE 10 - Maths
The line segment joining the points M (5, 7) and N (-3, 2) is intersected by the y-axis at point L. Write down the abscissa of L. Hence, find the ratio in which L divides MN. Also, find the co-ordinates of L.
Asked by priyanshumarwaha | 23 Mar, 2022, 09:36: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 10 - Maths
plz solve 'em
question image
Asked by rdk_kulkarni | 07 Sep, 2020, 05:16: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 10 - Maths
In what ratio is the line joining P(5,3) and Q(-5,3) divided by y-axis?Also find the coordinates of the point of intersection.
Asked by ruby19lko | 05 Mar, 2020, 05:34: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 10 - Maths
Find the ratio in which the line joining (-2, 5) and (-5, -6) is divided by the line y = -3. Hence find the point of intersection. 
Asked by lovetopper_121 | 14 Feb, 2020, 02:42: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 10 - Maths
Show by section formula that the points (3,-2),(5,2)and (8,8) are collinear.
Asked by tarunkumardas32 | 05 Apr, 2019, 03:35: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 10 - Maths
In a triangle ABC, AB = 6, BC = 8 and AC = 10. A perpendicular from B meets the side AC at D. A circle is drawn with radius BD and centre B. If the circle cuts AB and BC respectively at P and Q, then AP : QC is equal to  
Asked by keshavendu35 | 23 Aug, 2018, 10:47: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 10 - Maths
Q. 21
question image
Asked by Rayeesa | 28 Apr, 2018, 11:18: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 10 - Maths
3c part
question image
Asked by lovemaan5500 | 23 Feb, 2018, 07:06: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
My Class Videos Tests ₹ Plans Ask a Doubt
Get Latest Study Material for Academic year 24-25 Click here
×