Advertisements
Advertisements
प्रश्न
In the above figure, seg AB is a diameter of a circle with centre P. C is any point on the circle. seg CE ⊥ seg AB. Prove that CE is the geometric mean of AE and EB. Write the proof with the help of the following steps:
a. Draw ray CE. It intersects the circle at D.
b. Show that CE = ED.
c. Write the result using the theorem of the intersection of chords inside a circle. d. Using CE = ED, complete the proof.
उत्तर
The solution is not available
APPEARS IN
संबंधित प्रश्न
Find the length of the tangent drawn from a point whose distance from the centre of a circle is 25 cm. Given that the radius of the circle is 7 cm.
Write True or False. Give reason for your answer.
A circle has only finite number of equal chords.
Prove that the intercept of a tangent between two parallel tangents to a circle subtends a right angle at center.
In the given figure, AB is a chord of length 16 cm of a circle of radius 10 cm. The tangents at A and B intersect at a point P. Find the length of PA.
In figure PA and PB are tangents from an external point P to the circle with centre O. LN touches the circle at M. Prove that PL + LM = PN + MN
ture or false v
The degree measure of a semi-circle is 180°.
In the given figure, O is the centre of a circle. PT and PQ are tangents to the circle from an external point P. If ∠TPQ = 70° , find the ∠TRQ.
In Fig. 1, PA and PB are two tangents drawn from an external point P to a circle with centre C and radius 4 cm. If PA ⊥ PB, then the length of each tangent is:
Draw circle with the radii given below.
3 cm
Find the missing values in the following table for the circles with radius (r), diameter (d) and Circumference (C).
radius (r) | diameter (d) | Circumference (C) |
1760 cm |
If the radii of two concentric circles are 4 cm and 5 cm, then the length of each chord of one circle which is tangent to the other circle is ______
If the angle between two tangents drawn from a point P to a circle of radius ‘a’ and centre ‘O’ is 90°, then OP = ______
If angle between two tangents drawn from a point P to a circle of radius a and centre O is 60°, then OP = `asqrt(3)`
In the following figure, if ∠ABC = 20º, then ∠AOC is equal to ______.
If a line segment joining mid-points of two chords of a circle passes through the centre of the circle, prove that the two chords are parallel.
In the following figure, ∠ADC = 130° and chord BC = chord BE. Find ∠CBE.
A quadrilateral ABCD is inscribed in a circle such that AB is a diameter and ∠ADC = 130º. Find ∠BAC.
In the given figure, O is the centre of the circle. Shade the smaller segment of the circle formed by CP.
Say true or false:
Two diameters of a circle will necessarily intersect.
The circumcentre of a triangle is the point which is ______.