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# two circles with centres p and q cut each other at two distinct points a and b. the circles have the same radii and neither p nor q falls within the intersection of the circles. what is the smallest range that includes all possible values of the angle aqp in degrees?

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### Mohammed

Guys, does anyone know the answer?

get two circles with centres p and q cut each other at two distinct points a and b. the circles have the same radii and neither p nor q falls within the intersection of the circles. what is the smallest range that includes all possible values of the angle aqp in degrees? from screen.

## Two circles with centres P and Q cut each other at distinct points A and B. The circles have the equal radii and neither P nor Q falls within the intersection of the circles. What is the smallest range that includes all possible values of the angle AQP in degrees?A. between 0 and 90B. between 0 and 30C. between 0 and 60D. between 0 and 75E. between 0 and 45

Two circles with centres P and Q cut each other at distinct points A and B. The circles have the equal radii and neither P nor Q falls within the intersection of the circles. What is the smallest range that includes all possible values of the angle AQP in degrees?A. between 0 and 90B. between 0 and 30C. between 0 and 60D. between 0 and 75E. between 0 and 45

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Two circles with centres P and Q cut each other at distinct points A and B. The circles have the equal radii and neither P nor Q falls within the intersection of the circles. What is the smallest range that includes all possible values of the angle AQP in degrees?A. between 0 and 90B. between 0 and 30C. between 0 and 60D. between 0 and 75E. between 0 and 45

Question

Two circles with centres P and Q cut each other at distinct points A and B. The circles have the equal radii and neither P nor Q falls within the intersection of the circles. What is the smallest range that includes all possible values of the angle AQP (in degrees)?

A between 0 and 30 B between 0 and 60 C between 0 and 75 D between 0 and 45 E between 0 and 90 Open in App Solution

The correct option is C between 0 and 60

Option (B) is the correct answer. Check the video for the approach.

Suggest Corrections 0 SIMILAR QUESTIONS

Q. Two circles with equal radii are intersecting at the points

( 0 , 1 ) and ( 0 , − 1 )

. The tangent at the point

( 0 , 1 )

to one of the circles passes through the centre of the other circle. Then the distance between the centres of these circles is:

Q. Two circles with equal radii are intersecting at the points

( 0 , 1 ) and ( 0 , − 1 )

. The tangent at the point

( 0 , 1 )

to one of the circle. Then the distance between the centres of these circles is:

Q. Draw a circle of radius 4 cm. Construct a pair of tangents to it, the angle between which is

60 0

. Also justify the construction. Measure the distance between the centre of the circle and the point of intersection of tangents.

Q. The angle between the circles

S 1 : x 2 + y 2 − 4 x + 6 y + 11 = 0 and S 2 : x 2 + y 2 − 2 x + 8 y + 13 = 0 is

Q.

In figure, A, B, and C are three points on a circle with centre O such that

∠ BOC = 30 0 and ∠ AOB = 60 0

. If D is a point on the circle other than the arc ABC, find

∠ ADC (in degrees). __ View More

स्रोत : byjus.com

## [Solution] Two circles with centres P and Q cut each other at two distinct points A and B. The circles have the same radii and neither P nor Q falls within the intersection of the circles. What is the smallest range that includes all possible values of the angle AQP in degrees?

Two circles with centres P and Q cut each other at two distinct points A and B. The circles have the same radii and neither P nor Q falls within the intersection of the circles. What is the smallest range that includes all possible values of the angle AQP in degrees? - To know the range, we have to take the limiting case. The limiting case in this case is when the circles pass through each other's centers. In this case, PQ = AP = AQ => They form an equilateral triangle => angle AQP = 60 degrees. So, the maximum possible angle is 60 degrees. Another limiting case is when the circles touch each other externally. In this case, angle AQP = 0 degrees. Hence, the range is 0 to 60.

### CAT 2007 Question 24

Question 24

Two circles with centres P and Q cut each other at two distinct points A and B. The circles have the same radii and neither P nor Q falls within the intersection of the circles. What is the smallest range that includes all possible values of the angle AQP in degrees?

Solution

To know the range, we have to take the limiting case.

The limiting case in this case is when the circles pass through each other's centers.

In this case, PQ = AP = AQ => They form an equilateral triangle => angle AQP = 60 degrees.

So, the maximum possible angle is 60 degrees.

Another limiting case is when the circles touch each other externally.

In this case, angle AQP = 0 degrees.

Hence, the range is 0 to 60.

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स्रोत : cracku.in

## Two circles with centres p and q cut each other at two distinct points a and b. The circles have the

Step-by-step explanation:Let R be the radius of both the circles.Maximum value for angle AQP is when the circles are close as shown in diagram 2 where PQ = AP =…