The hundredth part of the product of the principal (P), time (T), and rate (R) is simple interest (I), then I is _____express the statement using symbols.
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Consider the function `f(x) = sin^(-1)x`, having principal value branch `[(pi)/(2), (3pi)/(2)] and g(x) = cos^(-1)x`, having principal value brach `[0
Correct Answer - B We have `f(x) = sin^(-1)x`, having range `[(pi)/(2), (3pi)/(2)]` Consider the function `h(x) = (pi - sin^(-1) x)`, where `sin^(-1) x in [-(pi)/(2), (pi)/(2)]` Clearly, function `f(x)...
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Let `z_1 and z_2`q, be two complex numbers with `alpha and beta` as their principal arguments such that `alpha+beta` then principal `arg(z_1z_2)` is g
Correct Answer - C `(c )` `arg(z_(1)z_(2))=arg(z_(1))+arg(z_(2))+2mpi`, `m in I` `:.` Principal argument `=alpha+beta-2pi`
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If `alpha` is a root of `x^4 = 1` with negative principal argument then the principal argument of `Delta(alpha) = |(1,1,1), (alpha^n, alpha^(n+1), alp
Correct Answer - B `(b)` Clearly `alpha=-i` where `i^(2)=-1` So `Delta(alpha)=0+alpha^(2)+1-1-0-alpha^(3)` `=(-i)^(2)+1-1-(-i)^(3)` =-1+1-1-i=-1-i` So, principal argument of `Delta(alpha)` is `-(3pi)/(4)`.
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1. Concepts related to population growth Birth rate, Death rate, Survival rate, Interest rate.
1. Interest rate 2. Expansion of industrial sector
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Subhash deposited Rs 5000 and it becomes Rs 5900 in 1 year under simple interest .If he deposited Rs 10000 with the same rate of interest for 1 year u
Correct Answer - Rs 11800
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Sekhar has a savings account in a bank with an annual interest rate of 5%. If the inflation rate goes up to 7%,
B) It will decrease
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Find the amount to be paid at the end of 3 years in each case: (a) Principal = Rs 1,200 at 12% p.a. (b) Principal = Rs 7,500 at 5% p.a.
Correct Answer - (a) ₹1632 (b) ₹ 8625
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11) A sum of ₹20000 accumulated to ₹ 50000 , after 12 years. Find the rate of simple interest p.a., which was effective in this situation.
Here, P = 20000, A = 50000, T = 12 years(T× is time period) S.I. = A - P = 50000- 20000 = 30000 S.I. = P × R × T /...
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When a lens of focal length f is cut in to two equal halves perpendicular to principal axis, then the focal length of each part of the lens is ………………
Correct option is B) double
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A convex lens of focal length 20 cm is cut into two halves along principal axis then focal length of each part will be …………………
Correct option is A) 20 cm
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