हिंदी

In the Figure, Point Q is the Point of Contact. If Pq = 12, Pr = 8 Then Find Ps. - Geometry Mathematics 2

Advertisements
Advertisements

प्रश्न

In the figure, point Q is the
point of contact. If PQ = 12,
PR = 8 then find PS.

उत्तर

In figure, PQ = 12, PR = 8
PQ2 = PR × PS ............ (Tangent secant theorem)
∴ 122 = 8 × PS
∴ 144 = 8 × PS
∴ PS = `144/8`
∴ PS = 18

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
2018-2019 (March) Balbharati Model Question Paper Set 2

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.


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


A circle can have ______ parallel tangents at the most.


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 ______.


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 Figure 3, a right triangle ABC, circumscribes a circle of radius r. If AB and BC are of lengths of 8 cm and 6 cm respectively, find the value of r.


What is the distance between two parallel tangents of a circle having radius 4.5 cm ? Justify your answer.


In the given Figure, AB and AC are tangents to the circle with centre O such that ∠BAC = 40°. Then ∠BOC is equal to ______ 


How many common tangents can be drawn to two circles, touching each
other externally?


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.


In fig., PT is a tangent to the circle at T and PAB is a secant to the same circle. If PB = 9cm and AB = 5 cm, find PT.


In the following figure, PQ is the tangent to the circle at A, DB is a diameter and O is the centre of the circle. If ∠ ADB = 30° and ∠ CBD = 60° ; calculate : ∠CDB


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 AOB


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


In a square ABCD, its diagonal AC and BD intersect each other at point O. The bisector of angle DAO meets BD at point M and bisector of angle ABD meets AC at N and AM at L. Show that - ALOB is a cyclic quadrilateral.


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


Draw a circle of radius 2.7 cm and draw a chord PQ of length 4.5 cm. Draw tangents at points P and Q without using centre.


In figure, M is the centre of the circle and seg KL is a tangent segment. If MK = 12, KL = `6sqrt(3)`, then find

(i) Radius of the circle.
(ii) Measures of ∠K and ∠M.


In figure, AT is a tangent to the circle with centre O such that OT = 4 cm and ∠OTA = 30°. Then AT is equal to ______.

 


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.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×