Students and Teachers Forum
Here, we have to find the value of quadratic polynomial x2 +1/x2 And we have been given the value of linear polynomial If x + 1/x Given, x + 1/x = 2 So, let us square on both side so thst the linear polynomial x + 1/x changes to .....
Solution: Here we have to find the product of (2x + 4) and (2x - 4). So let us multiply them. (2x + 4) × (2x - 4) Now, multiply the individual terms of the first bracket with the 2nd bracket. = 2x (2x - 4) + 4 (2x - 4) Now, let us .....
Solution, Here, we have to prove that the quadratic polynomial a2 + 1/a2 = 23 if the linear polynomial a - 1/a = 5. Given, a - 1/a = 5 To prove a2 + 1/a2 = 27, let us square both the sides of the equation a + 1/a = 5 so that the linear .....
The three examples of bad manners are: i) Quarrelling ii) Robbery iii) .....
1. Kamal used to live in Kanchanpur as a boy. 2. We used to go school together. 3. How did you use to spend summer evenings? 4. I used to be happy with my family. 5. There used to be trees in the .....
1. The task will be completed by us. (Passive voice – simple future tense) 2. The sun was shining. (Active voice – past continuous tense) 3. She had finished her homework. (Active voice – past perfect tense) 4. He was being .....
Solution, Here we have to divide the expression (-14a2b2-21a3b2) by (-7a2b) =-14a2b2 - 21a3b2 ÷ (-7a2b) The horizontal division canbe written in the vertical formas, = .....
Here, we have the value of one supplement angle. We have been asked to find the complement. At first, let us write down given information: We have, Supplement angle = 120° Complement =? First, let us find the other supplement angle. Let .....
Solution, Here we have to divide the term15x5 y7 z4 by the term 5x2 y2 z2 Or, 15x5 y7 z4 ÷ 5x2 y2 z2 This horizontal division can be written in the vertical term as, Or, (15x5 y7 z4)/(5x2 .....
Solution, Here we have to simplify the binomial expression (2x2+ 6)/(x + 6) - (x2+ 42)/(x + 6) = (2x2+ 6)/(x + 6) - (x2+ 42)/(x + 6) For the simplification of this expression, we can first take LCM of the denominator = ((2x2 + 6) - (x2+ .....
The things that can move, eat and breath are called living .....
1. An article is being written by her. (Passive voice – present continuous tense) 2. Nobody has talked with them. (Active voice – present perfect tense) 3. Cold drink was drunk by everybody. (Passive voice – simple past tense) 4. .....
Electromotive force of a cell is defined as the energy supplied by the cell to drive a unit charge round the whole .....
Solution, Here we have to simplify the expression 4a + 7 + 5a + 2 4a + 7 + 5a + 2 For the simplification of this expression we can first group the like terms = 4a + 5a + 7 + 2 Now, let us combine the like terms by performing addition or .....
Solution, Here we have to simplify the binomial expression 5x/8 + x/8 + 2x/8 = 5x/8 + x/8 + 2x/8 For the simplification of this expression, we can first take LCM of the denominator = (5x + x + 2x)/8 Now, let’s do the addition in the .....
Here, we have been given the decimal value. We have been asked to express it in percentage. At first let us write down given information: Given, 0.008 To write decimal in percent, we should multiply by 100 and add the percent symbol. So, .....
We go to the hospital when we are .....
Solution, Here we have to simplify the expression (1/y - y) ( 1/y + y) - (1/y + y)2 .....
Here, we have been given the length and breadth of a room. We have been asked to find the ratio. At first let us write down given information: We have, Length = 5.8 m Breadth = 3.2 m Ratio =? Ratio is the way of comparing quantities or number .....
Solution, Here we have to simplify the trinomial expression (x2 + xy + xy + y2)/(x2 - xy - xy + y2 ) ÷ (x3 + 3xy(x + y) + y3)/(x3 - 3xy(x - y) - y3) .....
Here, we have been given as percent figure. We have been asked to express in fraction in simplest form and as a decimal. At first let us write down given information: Given, 350% To express percentage as fraction, we should divides percentage .....
Here, The diameter of the circle (d) = 20 cm The radius of a circle (r) = ? We know, r = d2 = 202 cm =10 cm ∴r=10 cm Hence, the radius of the circle is 10 .....
Large .....
The sound wave with frequencies below 20 Hz is called infrasonic .....
Two engines doing the same work may have different powers because their rate of doing work may .....
The resistance of a conductor is said to be one ohm if the current of 1 ampere flows through it with the supplied potential difference of one volt across .....
Here, we have been given a percentage. We have been asked to express into the fraction of denominator 100. At first let us write down given information: Given, 100% Let us put 100 as denominator, = 100/100 ∴ Required fraction is .....
Here, we have been given fraction. We have been asked to express it in percent. At first let us write down given information: Given, 7/20 To write fraction in percentage, we should divide numerator by denominator then multiply result by .....
Solution: Here, a : b = 1 : 2, and b : c = 2 : 3 Now, ab × bc = 12 × 23 Or, ac = 1×22×3 Or, ac = 26 Or, ac = 13 ∴ a : c = 1 : 3 Now, in the first ratio b = 2 and in the second ratio b = 2 The LCM of 2 .....
Solution: Length of the box (l) = 12 m Breadth of the box (b) = 10 m Volume of the box (V) = 480 m3 Height of the box (h) = ? We know, Height of the match box (h) = V / lb .....
(a) Ca(OH)2 + CO2 → CaCO3+ H2O (b) Zn + 2AgNO3 → Zn(NO3)2 + 2Ag (c) 2Al + 3CuCl2 → 2AlCl3 + 3Cu (d) BaCl2 + K2SO4→ BaSO4 + .....
Solution: Length of the cuboid (l) = 10 cm Breadth of the cuboid (b)= 8 cm Height of the cuboid (h) = 4 cm We know, Total surface area of cuboid (T.S.A) = 2 (lb + lh + bh) .....
Solution: Length of the cuboid (l) = 15 cm Breadth of the cuboid (b)= 10 cm Height of the cuboid (h) = 5 cm We know, Total surface area of cuboid (T.S.A) = 2 (lb + lh + bh) .....
1. Penguin 2. Emu 3. Ostrich 4. Kiwi 5. .....
The complementary angle of 55° = 90° - 55° = .....
Solution: Here, p : q = 2 : 3, and q : r = 2 : 5 Now, pq × qr = 23 × 25 Or, pr = 2×23×5 Or, pr = 415 ∴ p : r = 4 : 15 Now, in the first ratio q = 3 and in the second ratio b = 2 The LCM of 3 and 2 is 6. Now, ab = 23 .....
Standard of living refers to the level of wealth, comfort, material goods and necessities available to a certain socioeconomic class in a certain geographic area. The factors affecting the living standard of people are listed as .....
क) शैली आइन् । ख) भैली खेल । ग) पैसा गन .....
The muscle which causes the body parts to move towards the body due to contraction is called .....