SSLC maths supplementary qp -23 with key answers 3 marks
0:00 Find the sum of first 40 positive integers which are divisible by 6
5:13 Second and third term of an arithmetic progression are 14 and 18 respectively. Find the sum of First 26 terms of the progression by using formula.
7:46 Divide p(x)=x3-3x²+5x-3 by g(x) = x²-x+1 and find the quotient q(x) and remainder r(x).
7:55 Prove that (secA - cosA)(cot A +tanA) = tan A.secA.
10:31 If A,B and C are the interior angles of a triangle, then prove that
1+〖𝑡𝑎𝑛〗^2 ((𝐴+𝐵)/2)=〖𝑐𝑜𝑠𝑒𝑐〗^2 (𝐶/2)
13:18 The points A,B and C are collinear. If A(1,0),B(4,4) and AC=8cm, then find the coordinates of point C
18:05 Calculate the mean for the following frequency distribution table :
20:30 Calculate the mode for the following frequency distribution table :
23:35 The daily income of 50 workers of a factory were recorded as follows. Draw a ‘less than type ogive’ for the given data.
26:36 Prove that “The tangents at any point of a circle is perpendicular to the radius through the point of contact.”
32:36 Construct a triangle with sides 5 cm, 6 cm and 8 cm. Then construct another triangle whose sides are 3/4 of the corresponding sides of the first triangle.
33:00 The sides of a square touch the circle of the radius ‘r’ as shown in the figure. If the area of the shaded region is 42〖𝒄𝒎〗^𝟐 then find the radius of the circle.
36:50 In the figure the area of the sector OAB is 231〖𝒄𝒎〗^𝟐 and length the arc AB is 22 cm. Find the radius of the circle.