Advertisements
Advertisements
प्रश्न
Prove that two different circles cannot intersect each other at more than two points.
Advertisements
उत्तर
Suppose two circles intersect in three points A,B,C,
Then A,B,C are non-collinear. So, a unique circle passes through these three points. This is contradiction to the face that two given circles are passing through A,B,C. Hence, two circles cannot intersect each other at more than two points.
APPEARS IN
संबंधित प्रश्न
In Fig. 1, the sides AB, BC and CA of a triangle ABC, touch a circle at P, Q and R respectively. If PA = 4 cm, BP = 3 cm and AC = 11 cm, then the length of BC (in cm) is ?
In the given figure, O is the centre of the circle and ∠DAB = 50° . Calculate the values of xand y.
Draw circle with diameter: 6 cm
In above case, measure the length of the radius of the circle drawn.
Draw a circle of any radius. Show one diameter, one radius and one chord on that circle.
The ratio between the circumference and diameter of any circle is _______
Find the diameter of the circle
Radius = 8 cm
A quadrilateral ABCD is inscribed in a circle such that AB is a diameter and ∠ADC = 130º. Find ∠BAC.
In the following figure, O is the centre of the circle, BD = OD and CD ⊥ AB. Find ∠CAB.
Draw two acute angles and one obtuse angle without using a protractor. Estimate the measures of the angles. Measure them with the help of a protractor and see how much accurate is your estimate.
From the figure, identify the centre of the circle.
