The radii of two concentric circles are 6 cm and 10 cm respectively. Find the length of the chord of the bigger circle which is tangent to smaller circle.

From figure, There are two circles with center A and radius AE = 10 cm and AB = 6 cm. In △ABE, ⇒ AE 2 = AB 2 + BE 2 ⇒ 10 2 = 6 2 + BE 2 ⇒ 100 = 36 + BE 2 ⇒ BE 2 = 100 - 36 ⇒ BE 2 = 64 ⇒ BE = = 8 cm. We know that, The perpendicular from the centre to a chord bisect the chord. DE = 2BE = 2 × 8 = 16 cm. Hence, length of chord of bigger circle which is tangent to smaller circle = 16 cm.

In the given figure, P(-3, -4) is the mid-point of the line segment AB.
Find the coordinates of points A and B. Also, find the equation of the line passing through the point P and also perpendicular to line-segment AB.

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The following table shows the marks obtained (out of 100) by different students of class X.
Marks No. of students
50-60 8
60-70 16
70-80 28
80-90 38
90-100 10
Taking suitable scales on both the axes, draw a histogram and use it to estimate mode.

Marks	No. of students
50-60	8
60-70	16
70-80	28
80-90	38
90-100	10

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If x² - 3x + 2 is a factor of x³ - ax² + b, find the values of a and b.

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Mathematics

The radii of two concentric circles are 6 cm and 10 cm respectively. Find the length of the chord of the bigger circle which is tangent to smaller circle.

Circles

Related Questions

In the given figure, P(-3, -4) is the mid-point of the line segment AB.
Find the coordinates of points A and B. Also, find the equation of the line passing through the point P and also perpendicular to line-segment AB.

The following table shows the marks obtained (out of 100) by different students of class X.
Marks No. of students
50-60 8
60-70 16
70-80 28
80-90 38
90-100 10
Taking suitable scales on both the axes, draw a histogram and use it to estimate mode.

If x² - 3x + 2 is a factor of x³ - ax² + b, find the values of a and b.

Mathematics

The radii of two concentric circles are 6 cm and 10 cm respectively. Find the length of the chord of the bigger circle which is tangent to smaller circle.

Circles

Related Questions

In the given figure, P(-3, -4) is the mid-point of the line segment AB.Find the coordinates of points A and B. Also, find the equation of the line passing through the point P and also perpendicular to line-segment AB.

The following table shows the marks obtained (out of 100) by different students of class X.MarksNo. of students50-60860-701670-802880-903890-10010Taking suitable scales on both the axes, draw a histogram and use it to estimate mode.

If x2 - 3x + 2 is a factor of x3 - ax2 + b, find the values of a and b.

In the given figure, P(-3, -4) is the mid-point of the line segment AB.
Find the coordinates of points A and B. Also, find the equation of the line passing through the point P and also perpendicular to line-segment AB.

The following table shows the marks obtained (out of 100) by different students of class X.
Marks No. of students
50-60 8
60-70 16
70-80 28
80-90 38
90-100 10
Taking suitable scales on both the axes, draw a histogram and use it to estimate mode.

If x² - 3x + 2 is a factor of x³ - ax² + b, find the values of a and b.