CBSE Class 12-science Answered
what answer
Asked by chakrisampathhanuman | 25 Apr, 2020, 08:44: PM
Expert Answer
Q: The locus of the foot of the perpendicular drawn from origin to a variable line passing through fixed point (2, 3) is a circle whose diameter is
Solution:
Let P(x, y) be any point on the Locus.
The given line passes through Q(h, k).
Since P and Q lie on the same line, they are collinear and Q is the foot of the perpendicular from origin O.
i.e. PQ is perpendicular to OP.
The given line passes through Q(h, k).
Since P and Q lie on the same line, they are collinear and Q is the foot of the perpendicular from origin O.
i.e. PQ is perpendicular to OP.
Slope of PQ = y-3/x-2
Slope of OP = y/x
Product of slope of perpendicular lines = -1
(y-3/x-2)(y/x)=-1
x2+y2-2x-3y=0
x2+y2-2x-3y+1+9/4-1-9/4=0
(x-1)2+(y-3/2)2=13/4
Answered by Renu Varma | 26 Apr, 2020, 09:37: PM
Application Videos
Concept Videos
CBSE 12-science - Maths
Asked by leelasri11663 | 25 Apr, 2024, 11:34: AM
ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by aishaazmata | 24 Apr, 2024, 08:48: PM
ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by revengesena | 24 Apr, 2024, 06:08: PM
ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by mahammadsharifdakhani67 | 16 Apr, 2024, 07:43: PM
ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by 20muskaansharma23 | 08 Apr, 2024, 11:31: AM
ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by cherrycharishma512 | 01 Apr, 2024, 12:32: PM
ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by annapoornaa429 | 31 Mar, 2024, 08:23: PM
ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by shirishakuruva477 | 28 Mar, 2024, 09:52: PM
ANSWERED BY EXPERT