Please refer to Circles HOTs Class 10 Mathematics provided below with Circles. All HOTs for Class 10 Mathematics with answers provided below have been designed as per the latest syllabus and examination petter issued by CBSE, NCERT, KVS. Students of Standard 10 Mathematics should learn the solved HOTS for Class 10 Mathematics provided below to gain better marks in examinations.
Circles Class 10 Mathematics HOTs
Questions of 1 Mark
Question. The length of tangent from point A at a distance at 5 cm. from the centre of the circle is 4 cm. What will be the radius of the circle?
Answer
3 cm
Question.
In the fig.1 PA and PB are tangents to the circle with centre O drawn from an external point P. CD is a third tangent touching the circle at Q. If PB=10cm Q =2 cm. What is the length of PC?
Answer
8cm
Question. How many tangents can be drawn to a circle from a point outside the circle?
Answer
Two
Question.
Two tangents TP and TQ are drawn from an external point ‘T’ to a circle with centre O as shown in fig they are inclined to each other at an angle of 1000 then what is the value of POQ?
Answer
80o
Question. What is the distance between two parallel tangents of a circle of the radius 4 cm.?
Answer
8 cm
Question. In fig, a circle touches all the four sides of a quadrilateral ABCD whose sides AB = 8 cm., BC = 9 cm. and CD = 6 cm. find AD.
Answer
5cm
Question. How many tangents can be drawn to a circle from a point inside the circle.
Answer
None
Question. TP and TQ are tangents to the circle with centre O if TOQ = 500 find OTQ.
Answer
40o
Question. If O is the centre of two concentric circles of radius 5 cm. and 13 cm. if AB is chord of larger circle which touches the smaller circle. Find the length of chord AB.
Answer
24 cm
Question. In the adjoining figure (fig. 5) a circle is inscribed in a quadrilateral ABCD in which B= 900.If AD= 23cm, AB =29cm, and DS =5cm. find the radius of the circle.
Answer
11 cm