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प्रश्न
How many tangents can a circle have?
उत्तर १
A circle can have infinite tangents.
As there are infinite number of points on the circle a circle has many (infinite) tangents.
उत्तर २
Tangent: A line intersecting a circle at one point is called a tangent.
संबंधित प्रश्न
Prove that the tangent at any point of a circle is perpendicular to the radius through the point of contact.
A tangent PQ at a point P of a circle of radius 5 cm meets a line through the centre O at a point Q so that OQ = 12 cm. Length PQ is ______.
If the angle between two tangents drawn from an external point P to a circle of radius a and centre O, is 60°, then find the length of OP
In fig. 5 is a chord AB of a circle, with centre O and radius 10 cm, that subtends a right angle at the centre of the circle. Find the area of the minor segment AQBP. Hence find the area of major segment ALBQA. (use π = 3.14)
In Fig.2, a circle with centre O is inscribed in a quadrilateral ABCD such that, it touches the sides BC, AB, AD and CD at points P, Q, R and S respectively, If AB = 29 cm, AD = 23 cm, ∠B = 90° and DS = 5 cm, then the radius of the circle (in cm.) is:
In the figure, point Q is the
point of contact. If PQ = 12,
PR = 8 then find PS.
Prove that a diameter AB of a circle bisects all those chords which are parallel to the tangent at the point A.
If Δ ABC is isosceles with AB = AC and C (O, r) is the incircle of the ΔABC touching BC at L,prove that L bisects BC.
AB is a diameter and AC is a chord of a circle with centre O such that ∠BAC = 30°. The tangent at C intersects extended AB at a point D. Prove that BC = BD.
A chord of a length 16.8 cm is at a distance of 11.2 cm from the centre of a circle . Find the length of the chord of the same circle which is at a distance of 8.4 cm from the centre.
The length of the direct common tangent to two circles of radii 12cm and 4cm is 15cm. calculate the distance between their centres.
In Fig. the incircle of ΔABC touches the sides BC, CA, and AB at D, E respectively. Show that: AF + BD + CE = AE + BF + CD = `1/2`( Perimeter of ΔABC)
Two equal chords AB and CD of a circle with center O, when produced meet at a point E, as shown in Fig. Prove that BE = DE and AE = CE.
In figure, if ∠AOB = 125°, then ∠COD is equal to ______.
In the figure, if PA and PB are tangents to the circle with centre O such that ∠APB = 50°, then ∠OAB is equal to ______.
Two parallel lines touch the circle at
points A and B respectively. If the area of the circle is 25 n cm2, then AB is equal to ______
In the following figure, PA and PB are tangents from a point P to a circle with centre O. Then the quadrilateral OAPB must be a ______
In the given figure, PQ is a tangent to the circle with centre O. If ∠OPQ = x, ∠POQ = y, then x + y is ______.
Assertion (A): A tangent to a circle is perpendicular to the radius through the point of contact.
Reason (R): The lengths of tangents drawn from an external point to a circle are equal.
