Line segments `A C` and `B D` are diameters of the circle of radius one. If `/_B D C=60^0` , the length of line segment `A B` is_________

The projection of a line segment on the axes are 9, 12 and 8. Then the length of the line segment is

If the diagram, D C is a diameter of the large circle centered at A , and A C is a diameter of the smaller circle centered at B . If D E is tangent to the smaller circle at F and D C=12 then the length of D E is .

Let A B and C D are two parallel chords of circle whose radius is 5 units. If P and Q are mid points of A B and C D respectively such that P A . P B=9, Q C . Q D=16 , then distance betweẹn A B and C D is

Let aa n db represent the lengths of a right triangles legs. If d is the diameter of a circle inscribed into the triangle, and D is the diameter of a circle circumscribed on the triangle, the d+D equals. (a) a+b (b) 2(a+b) (c) 1/2(a+b) (d) sqrt(a^2+b^2)

Direction ratios of two lines are a ,b ,ca n d1//b c ,1//c a ,1//a bdot Then the lines are ______.

Consider square A B C D of side length 1. Let P be the set of all segments of length 1 with endpoints on the adjacent sides of square A B C D . The midpoints of segments in P enclose a region with area Adot The value of A is

In a triangle A B C , right angled at A , on the leg A C as diameter, a semicircle is described. If a chord joins A with the point of intersection D of the hypotenuse and the semicircle, then the length of A C is equal to (a) (A B.A D)/(sqrt(A B^2+A D^2)) (b) (A B.A D)/(A B+A D) (c) sqrt(A B.A D) (d) (A B.A D)/(sqrt(A B^2-A D^2))

Find the general equation of the circle whose diameter is the line segment joining the points (-4,-2) and (1,1)

If the coordinates of the points A, B, C and D be (a, b), (a', b'), (-a, b) and (a',-b') respectively, then the equation of the line bisecting the line segments AB and CD is

If P(a,b) is the mid point of a line segment between the axes, then: