15. In the figure, ST is the tangent to the smaller circle, centre X, at P. Y is the centre of the larger circle. PQR and LMN are straight lines. If ZRLN : ZNPT = 5:4, find (a) ZRLN, (b) ZNPT.

Q: 2.4. What is the center and the radius of a circle given by the equation x² + y² + 4x – 10y + 20 =…

A:

Q: The distance d from P1=(2,-5) to P2=(4,-2) is d=..................

A: The given points as ordered pairs are  P1=(2,-5) and P2=(4,-2). As the coordinates of a point are…

Q: The distance of the line 7x + y –5 = 0 from the origin is?

A:

Q: Find the angle formed by the line 3x+4y-12=0 with the x-axis.

A: Angle of the line along x-axis

Q: Find the distance between two points (1, 2) and (3, −1).

A: We want to find the distance between the given two points. We use formula for finding the distance…

Q: Find the value of x,if the distance between the pints (x,1) and (3,2) is 5

A: We have to find the value of x if the distance between the points x,1 and 3,2 is 5.

Q: Find the distance d between the points (1, 3) and (5, 6).

A: Our Aim is to find the distance between the points (1,3) and (5,6).

Q: Find the distance from the point (4, 9) to the line y = 2x.

A:

Q: Find the angle between y=5x2-3 and 3xy-9x2-x

A: Given y=5x2-3 --- Eq 1 and 3xy=9x2-x      --- Eq 2We know that angle between y1=k1x+b1 and y2=k2x+b2…