#hots
- University question bank solution sem2 engineeting
- 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
- Ankita travels 14 km to her home partly by rickshaw and partly by bus. She takes half an hour if she travels 2 km Let the speed of the rickshaw be x km/h Let the speed of the bus be y km/h. Time taken to travel 2 km by rickshaw, t₁ = 2/x hours. Time take... 1
- The sum of two numbers is 60. The greater number is 8 more than thrice the smaller number. Find the numbers. Let assume two numbers be x and y x be the greater number and y be smaller number According to first statement in question x+y=60 ------(equ... 2
- The sum of two numbers is 128 and their difference is 16. Find the numbers. Let the two numbers be x and y According to 1^st condition , x+y=128 ------1 According to 2nd condition , x-y=16 --------2 Adding equation 1... 1
- 5 Chairs and 4 Tables Together Cost ₹5600, While 4 Chairs and 3 Tables Together Cost ₹ 4340. Find the Cost of Each Chair and that of Each Table Video solution:: https://youtu.be/mG1XSNDtBig Text Solution Let the cost of a chair be ₹ x and that of a table be ₹ y, then 5x + 4y = 5600 …... 1
- Shabana’s age 10 year hence will be twice as Juhi’s present age. The correct answer is shabanas age is 26 years and juhis age is 18 years Video solution::: https://youtu.be/g0836O7_m4A 1
- Walls of two buildings on either side of a street are parallel to each other. A ladder 5.8 m long is placed Solution:: Correct answer is 8.2 m Video solution https://youtu.be/WmtS_3V0VKQ 1
- Prove. Sec2 A + Cosec2 A = Sec2 A Cosec2 A Proof :: LHS = sec² A + cosec² A =1over(cos²A)+1over(sin²A)=(sin²A+cos²A)over(cos²A sin²A) =1over(cos²A sin²A)=sec²A cosec²A=RHS 1
- Find the area of the sector of a circle of radius 8 cm and arc with length 15 cm. Answer is 60 cm^(2 ) Solution :: Let centre be O red dot radius=OA=8cm=r length of arc= 15cm=L Area of sector= 1over 2× r× l = 1over 2× 8× 1... 1
- A person standing on the bank of the river observes that the angle of elevation of the top of a tree Let the height of the tree = h Let the width of the river =w Angle of elevation when standing on the bank = 60∘ When moved 40 m away from th... 1
- The diameter of a sphere is 6 cm. Find the total surface area of the sphere. (p = 3.14) diameter of sphere =d=6cm Radius = r=d/2 =6/2 =3cm the total surface area of sphere = 4 π r² =4 × 3.14 × 3² =4 × 3.14 × 9 =36 × 3.14 =113.04... 1
- Sides of a triangle are 7, 24 and 25. Determine whether the triangle is right-angled triangle or not By Pythagoras, if the sum of squares of two sides is equal to the square of the largest side then the triangle is said to be right-angled He... 1