Determine the general term of an A.P. whose `7t h` term is `-1` and `16 t h` term 17.
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The sum of `25` terms of an `A.P.`, whose all the terms are natural numbers, lies between `1900` and `2000` and its `9^(th)` term is `55`. Then the fi
Correct Answer - C `(c )` Let the first term be `a` and the common difference `d`. Then it is given that `a+8d=55` and ……..`(i)` `1900 lt (25)/(2)(2a+24d) lt 2000` `:.1900...
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Area of triangle whose vertices are `(a,a^2),(b,b^2),(c,c^2)` is `1/2` . and area of another triangle whose vertices are `(p,p^2),(q,q^2) and (r,r^2)`
Correct Answer - D `(d)` `|{:((1+ap)^(2),(1+bp)^(2),(1+cp)^(2)),((1+aq)^(2),(1+bq)^(2),(1+cq)^(2)),((1+ar)^(2),(1+br)^(2),(1+cr)^(2)):}|` `=|{:(1,2a,a^(2)),(1,2b,b^(2)),(1,2c,c^(2)):}|xx|{:(1,p,p^(2)),(1,q,q^(2)),(1,r,r^(2)):}|` `=2xx2Delta_(1)*2Delta_(2)` `=8Delta_(1)Delta_(2)=8xx(1)/(2)xx4=16`
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i. Annual General Meeting, Extra Ordinary General Meeting, Board Meeting. ii. Annual General Meeting, Committee Meeting, Class Meeting.
i. Board Meeting ii. Committee Meeting
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i. Within what period should the company hold its 1st Annual General Meeting? ii. At which place should the Annual General Meeting be held?
i. First Annual General Meeting must be held within Nine (9) months of the closing of its financial year. ii. Annual General Meeting should be held at the registered office or at some other...
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Distinguish between the following: Annual General Meeting and Extra-ordinary General Meeting
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Let `log_(10)2=a` and `log_(10)3=b` determine the following in term of `a` and `b` `(i) log_(4)100+2log_(27)100` `(ii) log_(144)sqrt(45)`
Correct Answer - `(i) (1)/(a)+(4)/(3b)` `(ii) (1)/(2)((2b+1-a)/(2b+4a))`
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If the 8th term of an A.P. is 31 and the 15th term is 16 more than the 11th term, find the A.P.
Correct Answer - `3,7,11,15,19"……"`
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Find the equation of a line (i) whose slope is 4 and which passes through the point (5, -7), (ii) whose slope is -3 and which passes through the point
Correct Answer - (i)4x-y=27=0 (ii)3x+y+3=0 (iii)`sqrt3+y-2=0`
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Find: (i) the 20th term of the AP 9, 13, 17, 21, … (ii) the 35 th term of the AP 20, 17, 14, 11,… (iii) the 18th term of the AP `sqrt(2), sqrt(18), sq
Correct Answer - (i) 85 (ii) -82 (iii) `35sqrt(2) (iv) 4(3)/(4)` (v) 310
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Determine the gravitational potential of a body of mass 80 kg whose gravitational potential energy is 5 × 10^9 J on the surface of the Earth.
Given: m = 80 kg, U = 5 × 109 J To find: Gravitational potential (V) Formula: V = \(\frac{U}{m}\) Calculation: From formula, V = \(\frac{5\times10^9}{80}=\frac{25}{4}\) × 107 = 6.25 × 107 J kg-1 Potential of the body at the surface...
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