Home
Class 10
MATHS
A line intersect the Y-axis and X-axis a...

A line intersect the Y-axis and X-axis at he points P and Q respectively. If (2,-5) is the mid-point of PQ, then find the coordinate of P and Q.

Text Solution

Verified by Experts

We know that at Y-axis, x-coordinate is zero and at X-axis, y-coordinate is zero.
So, let `" "P = (O,y)`
and `" " Q=(x,O)`
Since M (2,- 5) is the mid-point formula,
`(0+x)/(2)=2,(y+0)/(2)=-5`
`implies" "x=4," "y=-10`
`therefore" "P-=(0,-10)andQ-=(4,0)`
Promotional Banner

Topper's Solved these Questions

  • CO-ORDINATE GEOMETRY

    NAGEEN PRAKASHAN|Exercise Miscellaneous Examples|8 Videos

  • CO-ORDINATE GEOMETRY

    NAGEEN PRAKASHAN|Exercise Problems Of NCERT/exemplar|14 Videos

  • CIRCLES

    NAGEEN PRAKASHAN|Exercise Revision Exercise Long Answer Questions|3 Videos

  • CONSTRUCTIONS

    NAGEEN PRAKASHAN|Exercise PROBLEMS FROM NCERT/ EXEMPLAR|10 Videos

Similar Questions

Explore conceptually related problems

A line intersects the y-axis and x-axis at the points P and Q respectively. If (2,-5) is the mid-point of PQ then find the coordinates of P and Q.

A line intersects the Y- axis and X-axis at the points P and Q, respectively. If (2,-5) is the mid- point of PQ, then the coordinates of P and Q are, respectively.

A line intersects the y-axis and x-axis at the points P and Q respectively.If (2,5) is the mid- point of PQ ,then find the coordinates of P and Q.

A line intersects the y-axis and x-axis at the points P and Q respectively. If (2, - 5) is the mid-point of PQ, then the coordinates of P and Q are respectively

A straight line intersect x and y axes at P and Q respectively. If (3, 5) is the middle point of PQ, then what is the area of the triangle OPQ ?

The line 4x -7y + 10 = 0 intersects the parabola y^(2) =4x at the points P and Q. The coordinates of the point of intersection of the tangents drawn at the points P and Q are

Let the line (x)/(a)+(y)/(b)=1 cuts the x and y axes at A and B respectively.Now a line parallel to the given line cuts the coordinate axis at P and Q and points P and Q are joined to B and A respectively.The locus of intersection of the joning lines is

Consider the circle x^2+y^2=9 and the parabola y^2=8x . They intersect at P and Q in the first and fourth quadrants, respectively. Tangents to the circle at P and Q intersect the X-axis at R and tangents to the parabola at P and Q intersect the X-axis at S. The ratio of the areas of trianglePQS" and "trianglePQR is

Two lines cut on the axis of x intercepts 4 and -4 and on the axis of y intercepts 2 and 6 respectively. Find the coordinates of their point of intersection.