Sujeet Kumar

Exercise Question 1.Study the entries in the following table and rewrite them putting the connected items in a single row : I II III Mass m/s2 Zero at the centre of the earth Weight kg Measure of inertia Acceleration due to gravity N.m2/kg2 Same in the entire universe Gravitational constant N Depends on height Answer: … Read more

Question 1. In the adjoining figure, A is the centre of the circle. ∠ABC = 45° and AC = 7√2 cm. Find the area of segment BXC, (π = 3.14)Solution:In ∆ABC,AC = AB … [Radii of same circle]∴ ∠ABC = ∠ACB …[Isosceles triangle theorem]∴ ∠ABC = ∠ACB = 45°In ∆ABC,∠ABC + ∠ACB + ∠BAC = 180° … Read more

Question 1. Choose the correct alternative answer for each of the following questions. i. The ratio of circumference and area of a circle is 2 : 7. Find its circumference.Answer: (A) ii. If measure of an arc of a circle is 160° and its length is 44 cm, find the circumference of the circle.(A) 66 … Read more

Question 1.Radius of a circle is 10 cm. Measure of an arc of the circle is 54°. Find the area of the sector associated with the arc. (π = 3.14)Given : Radius (r) = 10 cm,Measure of the arc (θ) = 54°To find : Area of the sector.= 3 × 3.14 × 5= 15 × … Read more

Question 1.The radii of two circular ends of frustum shaped bucket are 14 cm and 7 cm. Height of the bucket is 30 cm. How many litres of water it can hold? (1 litre = 1000 cm3)Given: Radii (r1) = 14 cm, and (r2) = 7 cm,height (h) = 30 cmTo find: Amount of water … Read more

Question 1. Find the volume of a cone if the radius of its base is 1.5 cm and its perpendicular height is 5 cm.Given: For the cone,radius (r) = 1.5 cm,perpendicular height (h) = 5 cmTo find: Volume of the cone.Solution:Volume of cone = 1/3 πr2h∴ The volume of the cone is 11.79 cm3. Question 2. Find … Read more

Question 1.Choose the correct alternative answer for the following questions. i. sin θ.cosec θ = ?Answer:(A) ii. cosec 45° = ? Answer:(B) iii. 1 + tan2 θ = ?(A) cot2 θ(B) cosec2 θ(C) sec2 θ(D) tan2 θAnswer:(C) iv. When we see at a higher level, from the horizontal line, angle formed is ______(A) angle of elevation.(B) angle of depression.(C) 0(D) … Read more

Question 1.A person is standing at a distance of 80 m from a church looking at its top. The angle of elevation is of 45°. Find the height of the church.Solution:Let AB represent the height of the church and point C represent the position of the person.BC = 80 mAngle of elevation = ∠ACB = … Read more

Question 1.We know that,sin2 θ + cos2 θ = 1 LetAB = 7k and AC = 25kIn ∆ABC, ∠B = 90°∴ AB2 + BC2 = AC2 … [Pythagoras theorem]∴ (7k)2 + BC2 = (25k)2∴ 49k2 + BC2 = 625k2∴ BC2 = 625k2 – 49k2∴ BC2 = 576k2∴ BC = 24k …[Taking square root of both sides] Question 2.If tan θ = 3/4, find the values of sec θ … Read more

Question 1.Fill in the blanks using correct alternatives. i. Seg AB is parallel to Y-axis and co-ordinates of point A are (1, 3), then co-ordinates of point B can be _______.(A) (3,1)(B) (5,3)(C) (3,0)(D) (1,-3)Answer: (D)Since, seg AB || Y-axis.∴ x co-ordinate of all points on seg ABwill be the same,x co-ordinate of A (1, 3) … Read more