10th
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- Seg RM and seg RN are tangent segments of a circle with centre O. Prove that seg OR bisects ∠MRN as well as ∠MON. Proof: In ∆OMR and ∆ONR, seg RM ≅ seg RN [Tangent segment theorem] seg OM ≅ seg ON [Radii of the same circle] seg OR ≅ seg OR [Common side]... 1
- In the adjoining figure, O is the centre of the circle. From point R, seg RM and seg RN are tangent segments seg RM and seg RN are tangents to the circle with centre O. [Given] ∴ ∠OMR = ∠ONR = 90° [Tangent theorem] i. In ∆OMR, ∠OMR = 90° ∴ OR2 = OM2... 1
- In the adjoining figure, the radius of a circle with centre C is 6 cm, line AB is a tangent at A. i. line AB is the tangent to the circle with centre C and radius AC. [Given] ∴ ∠CAB = 90° (i) [Tangent theorem] ii. seg CA ⊥ line AB [From (... 2
- What efforts are undertaken to bring transparency in political process? Answer: Laws such as the Right to Information Act, compulsory disclosure of details by candidates, and election reforms by the Election Comm... 1
- What are the effects of criminalisation of politics? Criminalisation in politics is another serious problem in democratic government. To make the democracy successful politics should be separat... 2
- Which factors are required for the success of democracy in India? Factors required for the success of democracy in India are- Everyone’s opinion should be considered important in democratic government. Thou... 1
- Explain the concept. (2) Corruption Another big challenge is the corruption for Indian democratic system. It is very high in the public sector. Delay in governmental work, poor... 1
- Explain the concept. (1) Left-extremism Answer: Left extremism (Naxalism) is a violent movement that began against injustice to landless farmers and tribals and is now one of the m... 1
- State whether following statements are true or false. Give reasons for your answer. (1) Alertness is required to sustain democracy. Ans) True (2) Importance of the problems of farmers and tribals has increased in the left ex... 2
- Choose the correct option from the given options and complete the sentences. Answer: (1) (a) political parties; (2) (c) deepening the roots of democracy. (1) In a democracy, political parties contest elections and, af... 1
- Read the following passage and do the activities
- Expansion of theme 1) Be the change you want to see in the world. – Mahatma Gandhi Answer: Gandhiji's words mean that instead of waiting for others or blaming them, we should ourselves start the change we wish to see in soc... 1
- Group and electronic configuration Answer: Elements in the same group of the modern periodic table have the same number of valence electrons, i.e. the same outermost electroni... 1
- Seg AM is a median of ∆ABC. If AB = 22, AC = 34, BC = 24, find AM. ∴ AM = 26 units 1
- Find the length of a diagonal of a rectangle having sides 11 cm and 60 cm. Answer: 61 cm A diagonal divides the rectangle into two right-angled triangles, with the sides of the rectangle as the legs and the diagonal... 1
- Do sides 7 cm, 24 cm, 25 cm form a right angled triangle? Give reason. The sides of the triangle are 7 cm, 24 cm and 25 cm. The longest side of the triangle is 25 cm. ∴ (25)² = 625 Now, sum of the squares of the... 1
- Find the height of an equilateral triangle having side 2a. Let ∆ABC be the given equilateral triangle. ∴ ∠B = 60° [Angle of an equilateral triangle] Let AD ⊥BC, B – D – C. In ∆ABD, ∠B = 60°, ∠ADB = 9... 1
- What precautions will you take during field visit Strictly obey instructions given by teachers. Ensure safety of oneself and others, carry first – aid box, identity cards, etc. for emergency... 1
- A boat requires 6 hrs to travel 36 km downstream and 24 km upstream. It requires 9 hrs to travel 48 km down Answer: Speed of boat in still water = 10 km/hr, speed of stream = 2 km/hr Let the speed of the boat in still water be x km/hr and of the st... 1
- A two – digit number is 4 times the sum of its digits. The number obtained by interchanging the digits is greater Answer: The original number is 12. Let the tens digit be x and the units digit y . The number is 10x + y . Number is 4 times the sum of digi... 1
- The perimeter of a rectangle is 40 cm and its length is 5 cm more than twice its breadth. Find the length and the Let's solve the problem step by step: Let the breadth of the rectangle be 'x' cm, and the length be 'y' cm. Given information: The perimeter... 1
- A certain amount is distributed equally among certain boys. If there were 5 boys more each would have received Rs. 8 Answer: 20 boys and Rs. 800 distributed Let there be x boys, each getting Rs. y . Amount = xy . 5 more boys, Rs. 8 less each: (x + 5)(y - 8)... 1
- If 1 is added to the numerator of a certain fraction, it becomes ½. Instead, if 5 are Answer: The fraction is 3/8. Let the fraction be x/y . x + 1/y = 1/2 ⇒ y = 2x + 2 (1) x/y - 5 = 1 ⇒ x = y - 5 (2) Substitute (1) in (2): x =... 1
- Students were standing in rows for P.T exercises. If 4 students were less in each row, 10 more rows were required and Answer: 800 students Let there be x students in each row and y rows. Total students = xy . 4 fewer per row needs 10 more rows: (x - 4)(y + 1... 1