Advertisements
Advertisements
प्रश्न
Four alternative answers for the following question is given. Choose the correct alternative.
Two circles of radii 5.5 cm and 4.2 cm touch each other externally. Find the distance between their centres
विकल्प
9.7
1.3
2.6
4.6
उत्तर
Let the two circles having centres P and R touch each other externally at point Q.
Here, PQ = 5.5 cm, QR = 4.2 cm
The two circles touch each other externally. ...(P−Q−R)
If the circles touch each other externally, distance between their centres is equal to the sum of their radii.
∴ By theorem of touching circles,
∴ PR = PQ + QR
∴ PR = 5.5 + 4.2
∴ PR = 9.7 cm
∴ The distance between the centres of the circles is 9.7 cm.
APPEARS IN
संबंधित प्रश्न
If two circles with radii 5 cm and 3 cm respectively touch internally, find the distance between their centres.
If two circles with radii 8 cm and 3 cm respectively touch externally, then find the distance between their centres.
Two circles having radii 3.5 cm and 4.8 cm touch each other internally. Find the distance between their centres.
If radii of two circles are 4 cm and 2.8 cm. Draw a figure of this circles touching each other externally.
In the given figure, ray PQ touches the circle at point Q. PQ = 12, PR = 8, find PS and RS.
Four alternative answers for the following question is given. Choose the correct alternative.
Two circles of radii 5.5 cm and 3.3 cm respectively touch each other. What is the distance between their centers ?
Four alternative answers for the following question is given. Choose the correct alternative.
Two circles intersect each other such that each circle passes through the centre of the other. If the distance between their centres is 12, what is the radius of each circle?
Four alternative answers for the following question is given. Choose the correct alternative.
Chords AB and CD of a circle intersect inside the circle at point E. If AE = 5.6, EB = 10, CE = 8, find ED.
In the given figure, circles with centres X and Y touch internally at point Z . Seg BZ is a chord of bigger circle and it itersects smaller circle at point A. Prove that, seg AX || seg BY.
In the given figure, circles with centres C and D touch internally at point E. D lies on the inner circle. Chord EB of the outer circle intersects inner circle at point A. Prove that, seg EA ≅ seg AB.
If two circles with diameters 8 cm and 6 cm respectively touch externally, find the distance between their centers.
Two circles of radii 5.5 cm and 3.3 cm respectively touch each other externally. What is the distance between their centres?
Line ℓ touches a circle with centre O at point P. If radius of the circle is 9 cm, answer the following.
What is d(O, P) =? Why?
A circle with centre P is inscribed in the ∆ABC. Side AB, side BC, and side AC touch the circle at points L, M, and N respectively. The radius of the circle is r.
Prove that: A(ΔABC) = `1/2` (AB + BC + AC) × r
Two circles of radii 5.5 cm and 4.2 cm touch each other externally. Find the distance between their centres.
