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Make the following expressions free from modulus sign : `(x in R)` (i) `|x+2|+|x-2|` if `x^(2) le 2` , (ii) `|x^(3)+8|` , (iii) `|x+3|+|x|+|x-1|`
Correct Answer - (i) 4 (ii) `{{:(-(x^(3)+8)" ""If"" "x lt -2),((x^(3)+8)" ""If"" "x gt -2):}` (iii) `{{:(-3x-2, x lt -3),(-x+4,-3lexle0),(x+4,0lexlt),(3x+2,xge1):}`
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Make the following expressions free from modulus sign : (i) `|x^(2) -3x-4|` , (ii) `|x^(2)-7x+10|` if `x lt 5`
Correct Answer - (i) `{{:(-(x^(2)-3x-4)" ""if"" "x in (-1,4)),(x^(2)-3x-4" "if"" "x in (-oo,-1]uu[4,oo)):}` (ii) `{{:((x^(2)-7x+10)" "if" "xle2),(-(x^(2)-7x+10)" "if" "2ltxlt5):}`
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Name the states that did not agree to sign the “Instrument of Accession with India”
D) Hyderabad, Kashmir, Junagadh
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We should not enter where we see ……. sign.
No entry
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Define convection.
The process by which heat is transmitted through a substance from one point to another due to actual bodily movement of the heated particles of the substance is called convection.
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Describe the mechanism of heat transfer by convection in liquids and gases.
1. Consider liquid being heated in a vessel from below. 2. The liquid at the bottom of the vessel is heated first and consequently its density decreases i.e., liquid molecules at...
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Give two applications of convection.
1. Heating and cooling of rooms: The mechanism of heating a room by a heater is entirely based on convection. The air molecules in immediate contact with the heater are heated up. These...
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Distinguish between free convection and forced convection.
Free convection Forced convection i. When a hot body is in contact with air under ordinary conditions, like air around a firewood, the air removes heat from the body by a process called free...
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(D) Write the answers of the following questions in about 50 words. (1) Discuss the importance of the following statement from the light of the extract of the novel 'The Sign of Four' - 'The trio - Holmes, Doctor Watson and Mary decide to visit Lyceum Theatre'. (2) Write in brief the theme of the given extract of the novel 'The Sign of Four'.
Mary comes to meet Sherlock with a case. For the past six years, an anonymous person has been sending a pearl to Mary on the same day each year. However,...
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If b = 0, c < 0, is it true that the roots of x^2 + bx + c = 0 are numerically equal and opposite in sign? Justify.
Correct answer is Yes
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