If the straight line x-2y+1=0 intersects the circle x\power{2}+y\power{2}=25 at points P and Q,then findthe coordinates  of the point of intersection of the tangents drawn at P and Q to the circle x\power{2}+y\power{2}=25.

Q: The distance between the line x - y + 3 = 0 and the line y = x + 2 is

A: The given two lines are x-y+3=0  and y=x+2. The equation of second line can be written as x-y+2=0.…

Q: The distance between the line x =-2+2t ,y=2t+1, z=2-t and the line x=3-2t ,y=-2t+1 ,z=t is

A: We are supposed to find the distance between the line x =-2+2t ,y=2t+1, z=2-t and the line x=3-2t…

Q: Find the equation of the circle which is touched by y = x has on the positive direction of the x -…

A: Since the required circle has its center on the x-axis,let the coordinates of the center be…

Q: If the straight line x - 2y + 1 = 0 intersects the circle x² + y² of the point of intersection of…

A: Let R(h,k) be the point of intersection of the tangents drawn at P and Q to the given circle.Then PQ…

Q: The distance between the points (-2,2,0) and (1, -1,0) is 3/2. True False

A:

Q: ind the equation of the circle with radius 5 whose center lies on the x-axis and passes  through the…

A: Since the radius of the circle is 5 and its center lies on the x-axis,the equation of the circleis…

Q: Find the distance between the pair of points (5, 1) and (8, 5) . If necessary, express answers in…

A:

Q: If the point (6, -1) is reflected over line y = 2 then dilated by 2, what would the new points be?

A:

Q: Find an equation for a circle of radius 4 and center at the point (0,-2).

A: Given: For a circle,                           radius, r = 4 And            center, (h, k) = (0,-2)

Q: 1.) y = 2 X²+1

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: Q2) Find the distance between the line y= - (x+2 ) & the center of the circle y + x – 4(x+ y )= 9

A: The center of the circle x2+y2-2ax-2by+c=0 is a, b Therefore, the center of the given circle…

Q: If the straight line x - 2y + 1 = 0 intersects the circle x² + y² = 25 at points P and Q, then find…

A:

Q: From the point (0, –5), tangent lines are drawn to the circle (x – 7)2 + y = 4. Find the slope of…

A: Equation of line passing through point (x1,y1) and slope m  (y-y1) = m (x-x1)

Q: Find the distance of the line segment that goes from (0,2) to (1,7)

A: