# Maths

The line x 7y=5 cuts the circle x^2 y^2=15 at the points P & Q. Find: a) P & Q. b) the midpoint of PQ.

1. 👍
2. 👎
3. 👁
1. What mean x 7 y = 5 ?

x - 7 y = 5

x + 7 y = 5

x ^ 7 y = 5

1. 👍
2. 👎
2. there's a plus sign in btw x & 7y, d system prolly removed it.

x plus 7y=5
x^2 plus y^2=15

1. 👍
2. 👎
3. Put x=5-7y
Substitute in the circle
(5-7y)²+y²=15
Solve for the two values of y.
Find corresponding values of x to give two ordered pairs which are solutions to (a) for P and Q.
For (b), use the mid-point formula
M=((x1+x2)/2, (y1+y2)/2)

If you need further help, please post where you're up to and where you're stuck. You're welcome to post your answers for checking.

1. 👍
2. 👎
4. To solve for the two values of y

1. 👍
2. 👎

## Similar Questions

Which of these is a step in constructing an inscribed square using technology? Construct segment DB, segment CE, segment EG, segment GI, and segment ID. Draw segments BR, RS, and SB Identify the points of intersection between

2. ### Math

1. Find the angle of smallest positive measure coterminal with an angle of the given measure: a. 520 b. - 75 2. Points A (1,0) and B (.6,-.8) are points on a unit circle O. If the measure of angle AOB = 0 {w/ a line in the middle}

3. ### Calculus

(A) Find the equations of the tangent lines to the circle x^2 +y^2=25 at the points where x=4. (B) Find the equations of the normal lines to this circle at the same points. (The normal line is perpendicular to the tangent line at

4. ### Geometry

Which one of these is NOT a step used when constructing an inscribed square using technology? A. Create a circle using the center with given points tool. B. Connect the points with a line through the center of the circle. C. Mark

1. ### math

For 1-10, determine whether the lines are parallel, perpendicular or neither. One line passes through the points (-1, 4) and (2, 6); another line passes through the points (2, -3) and (8, 1). One line passes through the points (4,

2. ### calc

standard equation of circle concentric with X^2+Y^2-2X-8Y+1=0 and tangent to line 2X-Y=3 Complete the squares to find the center of the circle. X^2+Y^2-2X-8Y+1=0 (x-1)^2+(y-4)^2 - 16 =0 The center is (1,4) and the radius for the

3. ### Math

Find the equation of the perpendicular bisector of the line segment joining the points (1, 2) and (-2, 1) Does it mean I have to find the line. Then find a line that cuts that line in to half because perpendicular bisector

4. ### math

a. the line y=7x cuts the circle x^2+y^2=50 at A and B. find the coordinates of A and B. b. show that C(5;5) lies on the circle. c. show that ACB angle C=90degrees. what can you deduce about AB? d.find the equation of the tangent

1. ### GEOMETRY INSCRIBED ANGLES MULTIPLE CHOICE QUESTION

segment BC is tangent to circle A at B and to circle D at C. (Not drawn to scale) AB=10 BC=25 and DC=3. Find AD to the nearest tenth. Hint: Draw an auxiliary line from D to segment BA. {There are two circles, the larger one has

2. ### Geometry

Let A, B, C, and D be points on a circle such that AB = 15 and CD = 21. Point P is on segment AB with AP = 8, and Q is on segment CD with CQ = 5. The line through P and Q intersects the circle at X and Y. If PQ = 6, find XY.

3. ### maths-urgently needed

find the equation of circle if the line 2x - y +1 = 0 touches the circle at the point (2,5) and the center of the circle lies on the line x+y -9 =0

4. ### Co-ordinate geometry

find the equation of a circle passing through the points p(0,-3) and q(4,0) and has its centre on the line x+2y=0