Circles

Bihar Board Class 10 · Mathematics · 37 past questions

1. Q1 2026

   How many tangents can be drawn to a circle from an external point?

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2. Q2 2026

   If the lengths of radius of a circle and the tangent drawn from an external point to the circle are 7 cm and…

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3. Q3 2026

   If the lengths of chord and radius of a circle are 16 cm and 17 cm respectively then perpendicular distance…

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4. Q4 2026

   The sum ( in right angle ) of pair of opposite angles of a cyclic quadrilateral is

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5. Q5 2026

   Which of the following pairs of lines in a circle cannot be parallel ?

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6. Q6 2026

   If the angle between any two radii of a circle is 130° then the angle between the tangents at the ends of the…

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7. Q7 2026

   The angle subtended at the centre of a circle is $\angle AOB$ and $\angle ACB$ where $C$ lies on major arc at…

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8. Q8 2026

   Assuming centre as the mid-point of hypotenuse in a right angled triangle, a circle is drawn, then the centre…

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9. Q9 2025

   A line which intersects a circle in two distinct points is called

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10. Q10 2025

    The number of common tangents of two intersecting circles is

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11. Q11 2025

    From an external point $P$, two tangents $PA$ and $PB$ are drawn on a circle. If $PA = 8$ cm then $PB =$

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12. Q12 2025

    If $PA$ and $PB$ are the tangents drawn from an external point $P$ to a circle with centre at $O$ and…

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13. Q13 2025

    What is the angle between the tangent drawn at any point of a circle and the radius passing through the point…

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14. Q14 2024

    The distance between two parallel tangents of a circle is 10 cm. Then the radius of the circle is

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15. Q15 2024

    If two circles touch each other externally then what is the number of common tangents ?

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16. Q16 2024

    From an external point $P$, two tangents $PA$ and $PB$ are drawn on a circle. If $PA = 6$ cm then $PB =$

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17. Q17 2024

    If two tangents drawn on a circle of radius 3 cm are inclined to each other at an angle of $60^\circ$, then…

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18. Q18 2023

    The number of common tangents of two intersecting circles is

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19. Q19 2023

    A circle is of radius 7 cm. From an external point P length of tangent PT is 24 cm. If O is the centre of the…

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20. Q20 2023

    From an external point P, length of one tangent drawn on a circle is 17 com. Then the length of other tangent…

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21. Q21 2022

    The distance between two parallel tangents drawn on a circle of radius 6 cm is

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22. Q22 2022

    How many tangents can be drawn to a circle from an external point ?

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23. Q23 2022

    In the given figure $\angle AOB = 130^\circ$; then the value of $\angle APB$ is (with a figure)

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24. Q24 2022

    In the given figure TP and TQ are two tangents to the circle with centre O such that $\angle PTQ = 50^\circ$… (with a figure)

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25. Q25 2022

    The number of common tangents of two circles which touch each other externally is

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26. Q26 2022

    In the given figure point $O$ is the centre of the circle and $\angle AOB = 40^\circ$ then the value of… (with a figure)

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27. Q27 2020

    How many tangents can be drawn from an external point on a circle ?

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28. Q28 2020

    If two tangents inclined at an angle of $60^\circ$ are drawn to a circle of radius 3 cm then the length of…

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29. Q29 2020

    The largest chord of a circle is

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30. Q30 2019

    A line which intersects a circle at two distinct points is known as -

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31. Q31 2019

    PA and PB are two tangents drawn from an external point P to a circle. If PA = 4 cm then the length of PB is -

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32. Q32 2019

    The length of a tangent from a point P at a distance 13cm from the centre of a circle is 12 cm, then the…

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33. Q33 2018

    If two circles touch each other externally, then the number of common tangent to the circle is-

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34. Q34 2018

    If PQRS is a parallelogram inscribed in a circle then it is not a-

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35. Q35 2017

    The length of Tangents on a circle from any external point will be-

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36. Q36 2015

    PA and PB are two tangents drawn from an external point P to a circle. If PA = 6 cm, then length of PB will be

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37. Q37 2015

    If the ratio of circumferences of two circles is 2 : 3, then the ratio of their radii will be

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