हिंदी

How many tangents can a circle have? - Mathematics

Advertisements
Advertisements

प्रश्न

How many tangents can a circle have?

एक पंक्ति में उत्तर
लघु उत्तरीय

उत्तर १

A circle can have infinite tangents.

As there are infinite number of points on the circle a circle has many (infinite) tangents.

shaalaa.com

उत्तर २

Tangent: A line intersecting a circle at one point is called a tangent.

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 10: Circles - Exercise 10.1 [पृष्ठ २०९]

APPEARS IN

एनसीईआरटी Mathematics [English] Class 10
अध्याय 10 Circles
Exercise 10.1 | Q 1 | पृष्ठ २०९
आरडी शर्मा Mathematics [English] Class 10
अध्याय 8 Circles
Exercise 8.1 | Q 2 | पृष्ठ ५

वीडियो ट्यूटोरियलVIEW ALL [4]

संबंधित प्रश्न

Prove that the tangent at any point of a circle is perpendicular to the radius through the point of contact.


In Fig. 7, two equal circles, with centres O and O’, touch each other at X. OO’ produced meets the circle with centre O’ at A. AC is tangent to the circle with centre O, at the point C. O’D is perpendicular to AC. Find the value of `(DO')/(CO')`


A tangent to a circle intersects it in ______ point (s).


In the given figure O is the centre of the circle. Tangents A and B meet at C. If ∠ACO = 30°, find

1) ∠BCO

2) ∠AOB

3) ∠APB


In the given figure, find TP if AT = 16 cm and AB = 12 cm.


Prove that the tangent drawn at the mid-point of an arc of a circle is parallel to the chord joining the end points of the arc.


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.


Two chords AB and CD of lengths 6cm and 12cm are drawn parallel inside the circle. If the distance between the chords of the circle is 3cm, find the radius of the circle.


In following fig., PT is a tangent to the circle at T and PAB is a secant to the same circle. If PA = 4cm and AB = Scm, find PT.


In following fig., PT is a tangent to the circle at T and PAB is a secant to the same circle. If PB = 9cm and AB = Scm, find PT. 


In followinf fig., two concentric circles with centre 0 are of radii 5 cm and 3 cm. from an external point P, tangents PA and PB are drawn to these circles. If AP = 12cm, find BP.


In the given figure, O is the centre of the circle. Tangents at A and B meet at C. If angle ACO = 30°, find: angle APB


Construct a tangent to a circle with centre O and radius 3.5 cm at a point P on it. 


Find the area of sector whose central angle and radius are 60o and 21 cm respectively.
`(pi = 22/7)`


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)


In figure, the common tangent, AB and CD to two circles with centres O and O' intersect at E. Prove that the points O, E, O' are collinear.


In figure, O is the centre of a circle of radius 5 cm, T is a point such that OT = 13 cm and OT intersects the circle at E. If AB is the tangent to the circle at E, find the length of AB.


ΔABC circumscribes a circle of radius r such that ∠B = 90°. If AB = 3 cm and BC = 4 cm, then find the value of r.


In the given figure, PA is a tangent to the circle drawn from the external point P and PBC is the secant to the circle with BC as diameter. If ∠AOC = 130°, then find the measure of ∠APB, where O is the centre of the circle.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×