All questions
- Your college celebrated the ‘World Environment Day’. You are the Class Representative. Write a report on the CONNECTING PEOPLE TO NATURE 6th June, 2019 Thane Pragati College of Arts & Commerce located at Dombivali celebrated its World Environment Da... 2
- Your college is 20 km away from your village. You go to the college by S.T. bus, but the bus timings are not convenient for you and other students. 7G, Sonia Apartment, Rainbow colony, M.G.Road, Dharavi, Mumbai:- 400 017. 7th March, 2019. To, The Manager, The Local Bus Depot Vasai Roar,... 2
- Write a letter to The Chief Officer, Road Transport Authorities, drawing his attention to the problem of frequent traffic 7G, Rainbow Colony, M.G. Road, Nana Peth, Pune City- 441 002. 14th July 2019 To, The Chief Officer, Road Transport Authorities, Traffic Head... 2
- Write a letter to the Mayor of your city requesting him / her to provide better facilities to face water shortage. 7G, Rainbow colony, M.G. Road, Mahim (E), Mumbai:- 400 016. 24th February, 2022 To, The Mayor, Municipal Corporation of Greater Mumbai, Dada... 1
- Write a letter to the newspaper editor highlighting the condition of the roads in your area and suggest suitable measures. 7G, Rainbow colony, M.G. Road, Dharavi Cross Road, Dharavi, Mumbai – 400017. 5th March, 2022 The Editor, The Times News Paper, Fort, Mumbai... 1
- Write to your friend about the condition of roads and the care to be taken. 7G, Rainbow colony, M.G. Road, Dharavi Cross Road, Dharavi, Mumbai – 400017. 5th March, 2022 Dear Sonia, I hope this letter finds you well.... 1
- A kite is flying at a height of 60 m above the ground. The string attached to the kite is tied at the ground. It makes an angle of 60° with the ground. Given data: Height of kite above the ground: 60 m Angle between the string and the ground: 60° Formula used: sine function: sin(angle) = opp... 1
- A storm broke a tree and the treetop rested 20 m from the base of the tree, making an angle of 60° with the horizontal. Find the height of the tree. Correct Answer is 40+20√3 m 1
- Two poles of heights 18 metre and 7 metre are erected on a ground. The length of the wire fastened at their tops in 22 metre Correct answer is 30 degree 1
- Two buildings are facing each other on a road of width 12 metre. From the top of the first building, which is 10 metre high, the angle of elevation See image for answer 2
- From the top of a lighthouse, an observer looking at a ship makes angle of depression of 60°. If the height of the lighthouse is 90 metre Correct Answer is 51.9 m 1
- A person is standing at a distance of 80m from a church looking at its top. The angle of elevation is of 45°. Find the height of the church Correct Answer is 80 m 1
- proove that tan theta\sec theta - 1= tan theta + sec theta + 1/ tan theta + sec theta - 1} Hence , prooved 2
- Prove That: Sec 4 a ( 1 − Sin 4 a ) − 2 Tan 2 a = 1 Hence , prooved 2
- Prove That: Tan a ( 1 + Tan 2 a ) 2 + Cot a ( 1 + Cot 2 a ) 2 = Sin a Cos a Hence , prooved 2
- If tanθ+ 1/tanθ =2 thenshow that tan ^2 θ+ 1/ tan^2θ=2 Hence prooved 2
- proove that viii. } secθ+tanθ=cosθ/(1−sinθ) Hence , prooved 2
- Proove that vii. sin^4 θ – cos^4 θ = 1 – 2 cos^2 θ Hence , prooved 2
- prove that vi ) 1/secθ−tanθ=secθ+tanθ Hence , prooved 2
- proove that v. cot θ + tan θ =cosec θ. sec θ Hence , prooved 2
- proove that iv. (sec θ – cos θ) (cot θ + tan θ)= tan θ. sec θ Hence , prooved 2
- Prove that √1-sinθ/1+sinθ=secθ−tanθ Hence , prooved 2
- prove that cos^2 θ (1+ tan2 θ) = 1 Hence , prooved 2
- prove that sin^2θ/cosθ+cosθ=secθ Solution is in img format 2