Home › UP Board Class 10 › mathematics › Circles › A tangent at point P of a circle of radius 5 cm …
A tangent at point P of a circle of radius 5 cm is parallel to a chord 8 cm long. The distance of the chord from the centre is
A5 cm
B4 cm
C3 cm
D8 cm
Answer & Solution
Correct answer: C. 3 cm
1. Tangent is parallel to chord, so perpendicular from centre to chord is along OP.
2. Half chord = 4; half chord squared + d squared = r squared, so 16 + d squared = 25.
3. d = 3 cm.
_Source: NCERT Class 10 Mathematics, Ch 10 "Circles", §10.3_
Related questions
Two circles touch each other externally at P. A common tangent at P meets another common tIn a circle, two chords AB and CD intersect inside at P. If AP × PB = 8 and CP = 4, then PA point P is 25 cm away from the centre O of a circle and the tangent PT to the circle is Two parallel tangents are drawn to a circle of radius 8 cm. The distance between them isA circle touches all four sides of a quadrilateral ABCD with AB = 6, BC = 7, CD = 4. Then PA and PB are tangents from a point P to a circle. If angle APB = 90 degrees, the radius aA line drawn through the centre of a circle to bisect a chord isTwo tangents from an external point to a circle of radius 6 cm have length 8 cm each. The