CBSE Class 10 Mathematics Circles Worksheet Set F
CIRCLES Q.- In Fig., if AB = AC, prove that BE = EC Sol. Since tangents from an exterior point to a circle are equal in length ∴ AD = AF [Tangents from A] BD = BE [Tangents from B] CE = CF…
CBSE Class 10 Mathematics Circles Worksheet Set E
CIRCLES Q.- A point P is 13 cm from the centre of the circle. The length of the tangent drawn from P to the circle is 12cm. Find the radius of the circle. Sol. Since tangent to a circle is perpendicular to the radius through the point of contact…
CBSE Class 10 Mathematics Circles Worksheet Set D
Q.- Prove that the paralleogram circumscribing a circle, is a rhombus. Sol. Given : A parallelogram ABCD circumsribes a circle with centre O. To prove : AB = BC = CD = AD Proof : we know that the lengths of tangents drawn from an exterior point to a…
CBSE Class 10 Mathematics Circles Worksheet Set C
Q.- A circle touches the side BC of a ΔABC at P,and touches AB and AC produced at Q and R respectively, as shown in the figure. Show that AQ = 1/2 (perimeter of ΔABC) Sol. We know that the lengths of tangents drawn from an exterior point to a circle are…
CBSE Class 10 Mathematics Circles Worksheet Set B
Q.- Prove that the tangents drawn at the ends of a diameter of a circle are parallel. Sol. Given : CD and EF are the tangents at the end points A and B of the diameter AB of a circle with centre O. To prove : CD || EF. Proof : CD is the…
CBSE Class 10 Mathematics Circles Worksheet Set A
Q.- From a point P, 10 cm away from the centre of a circle, a tangent PT of length 8 cm is drawn. Find the radius of the circle. Sol. Let O be the centre of the given circle and let P be a point such that OP = 10 cm. Let PT be the tangent such that PT = 8…