such that it touches the sides PQ, QR and RP at points D, E, F, respectively. If the lengths of the sides PQ = 15 cm, QR = 11 cm and RP = 13 cm, then find the length of PD.
English
80 Questions
160 Marks
60 Mins English English20 Questions40 Marks12 Mins English English80 Questions160 Marks60 Mins EnglishTwo circles touch each other externally at P. AB is a direct common tangent touching them respectively at A and B, then ∠APB is:
Number of circles through a pair of given points
In the diagram , AD is the tangent line of the circle and ABC is the secant line. If AB = 4 cm and BC = 5 cm, then the length of AD is
Five concentric, adjacent, semi-circular running tracks, each of mean length 100 m and width 2.5 m are marked on a field. If the angle subtended by inner track is 1.00 rad, the angle subtended by the outermost track is
Two circles of radii 9.0 units and 4.0 units touch each other externally as in the figure. Then the length (in units) of their common tangent AB is
PN is a secant intersecting a circle at points M and N such that PN > PM. A tangent PT is drawn to the circle touching it at T. If PM = 32 cm and PT = 40 cm, what is the length (in cm) of the chord MN?
Two intersecting circles are said to be orthogonal if the angle between them is a/an _________.
ABC is a right angled triangle. A circle is inscribed in it. The length of the two sides containing the right angle are 10 cm and 24 cm. find the radius of the circle.
A circle having centre c1, radius r1 = 5 cm is placed against a right angle. another smaller circle having centre c2, radius r2 is also placed touching the sides of angle and the bigger circle as shown in the figure. Find the radius r2, in cm, of the smaller circle.
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