Home
Class 10
MATHS
AB is a diameter of a circle and AC is i...

AB is a diameter of a circle and AC is its chord such that `angleBAC=30^(@)`. If the tengent at C intersects AB extended at D, then BC=BD.

Text Solution

Verified by Experts

The correct Answer is:
True
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • CIRCLES

    VK GLOBAL PUBLICATION|Exercise SHORT ANSWER QUESTIONS - II (3 marks)|13 Videos

  • CIRCLES

    VK GLOBAL PUBLICATION|Exercise LONG ANSWER QUESTIONS (4 marks)|7 Videos

  • CIRCLES

    VK GLOBAL PUBLICATION|Exercise VERY SHORT ANSWER QUESTIONS (1 marks)|10 Videos

  • ARITHMETIC PROGRESSIONS

    VK GLOBAL PUBLICATION|Exercise SELF ASSESSMENT TEST|10 Videos

  • COORDINATE GEOMETRY

    VK GLOBAL PUBLICATION|Exercise SELF-ASSESSMENT TEST|10 Videos

Similar Questions

Explore conceptually related problems

Seg AB is a diameter of a circle with centre P. Seg AC is a chord. A secant through P and parallel to seg AC intersects the tangent drawn at C in D. Prove that line DB is a tangent to the circle.

If AOB is a diameter of a circle and C is a point on the circle, then AC^(2)+BC^(2)=AB^(2) .

Knowledge Check

  • AB is a diameter of the circle, CD is a chord equal to the radius of the circle. AC and BD when extended intersect at a point E. Find the angle AEB .

    A
    `30^(@)`
    B
    `60^(@)`
    C
    `90^(@)`
    D
    `45^(@)`

  • AD is a diameter of a circle and AB is a chord. If AD = 34cm, AB = 30cm, the distance of AB form the centre of the circle is

    A
    `17` cm
    B
    `15` cm
    C
    `4` cm
    D
    `8` cm

  • In a circle of radius 5 cm, AB and AC are the two chords such that AB=AC=6cm. Find the length of the chord BC

    A
    4.8 cm
    B
    10.8cm
    C
    9.6 cm
    D
    none of these

    • Similar Questions

    Explore conceptually related problems

    AB is diameter of a circle with centre 'O'. CD is a chord which is equal to the radius of the circle. AC and BD are extended so that they intersect each other at point P. Then find the value of angleAPB .

    AB is the diameter of a circle whose centre is O. DC is a chord of that circle. If DC||AB and angleBAC=20^(@) then angleADC =?

    In the adjoinig figure, AB is a diameter of the circle, CD is a chord equal to the radius of the circle. AC and BD when extended intersect at a point E. Prove that angleAEB=60^@ .

    In Fig.10.32, AB is a diameter of the circle, CD is a chord equal to the radius of the circle, AC and BD when extended intersect at a point E.Prove that /_AEB backslash=backslash60^(@)

    In a circle of radius 5cm, AB and AC are two chords such that AB=AC=6cm* Find the length of the chord BC

    Home
    Profile