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[mathjax] Question 1 The circumference of a circle exceeds its diameter by 16.8 cm. Find the circumference of the circle. Sol : We know that, circumference of a circle, C = 2πr and diameter, D = 2r...
[mathjax] Question 1 Divide a line segment 4.2 cm long internally in the ratio 5:3 Also, write the steps of construction. Sol : Question 2 Divide a line segment of length 3.2 cm in the ratio of 3:5...
[mathjax] Question 1 From a point P, the length of the tangent to a circle is 15 cm, and the distance of P from the centre of the circle is 17cm. Then what is the radius of the circle? Sol : Let the...
[mathjax] Question 1 The length of a tangent from a point A at a distance 5cm from the centre of a circle is 4cm. Find the radius of the circle. Sol : Let the centre of circle be O so that AO = 5 cm...
[mathjax] Question 1 A Find the coordinates of the point which divides the line segment joining (2,4) and (6,8) in the ratio 1:3 internally and externally. Sol : Let P(x,y) be the point which divides...
[mathjax] Question 1 A Find the coordinates of the point which divides the line segment joining (2,4) and (6,8) in the ratio 1:3 internally and externally. Sol : Let P(x,y) be the point which divides...
[mathjax] Question 1 A Find the distance between the following pair of points: (0, 0), (- 5, 12) Sol : Given points are (0, 0) and (- 5, 12) We need to find the distance between these two points. We...
[mathjax] Question 1 D In which quadrants do the following points lie: Sol : Given coordinate \left(\frac{3}{2}, 5\right)lies, in Quadrant I because as shown in the figure that those coordinate who...
[mathjax] DE = BC = 3000 m i.e. the plane travels a distance of 3000m in 15 seconds \therefore the speed of the plane =\frac{\text { distance }}{\text { time }}=\frac{3000}{15}=200 \mathrm{m} /...
[mathjax] Question 1 The sum of n terms of an A.P. is $\left(\frac{5 n^{2}}{2}+\frac{3 n}{2}\right)$. Find its 20th term. Sol : $\mathrm{S}=\left(\frac{5 \mathrm{n}^{2}}{2}+\frac{3...
[mathjax] Question 1 Three numbers are in A.P. Their sum is 27 and the sum of their squares is 275. Find the numbers. Sol : Let the three numbers are in AP = a, a + d, a + 2d According to the...
[mathjax] Question 1 D Find the indicated terms in each of the following arithmetic progression: a = 21, d = — 5; t n , t 25 Sol : Given: a = 21 , d = –5 To find: t n and t 25 We have, t n = a + (n –...