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if a,b areal number such that a>b ,c<0 then (1)c.b≥c.a (2) c.b>c.a (3) c.a>c.b chouse the right answer |
the sequence ........... is partial from sequence ⟨(1/(n+1))⟩_(n∈N) (1)⟨((1−n)/n)⟩ (2)⟨(1/(2n−1))⟩ (3)⟨(1/(2n))⟩ chouse the right answer |
x^y =y^x { (x),(y) :}=? |
find all asymptotes of function f(x)=(((x^2 +4x−5)/(x^2 +x+3)))^(x+5) |
∣ x ∣=2⇒ x=2 ∨ x=−2 OR ∣ x ∣=2⇒ x=2 ∧ x=−2 ? |
∫(x+1)^2 (1−x)^5 dx |
Find the remainder when x^(2006) −1 is divided by x^4 +x^3 +2x^2 +x+1. |
Given a set data : 2,2,3,4,5,5,5,8,8,9,11,14. find the value of Q_1 |
Find the square root of (√(50))+(√(48)) |
(1)∫_0 ^π ((sin^4 x)/((1+cos x)^2 )) dx ? (2) lim_(x→∞) ((√(1−cos (((2π)/x))))/(1/x)) ? |
∫ (√x) cos ((√x)) dx |
If { ((f(x)=(√(2x−5)))),((g(x)=x^2 +1)) :} find (f^(−1) ○g)^(−1) (x) |
when do I use ∣x∣ for (√x^2 )? |
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If 2^x =4^y =8^z and xyz=288, then find (1/(2x))+(1/(4y))+(1/(8z)) |
Find the area between the circle ρ=2acosθ and cardiode ρ=a(1+cosθ) |
∫_3 ^6 ((x+1)/(x^3 +x^2 −6x))dx |
Consider the series I_n =∫_1 ^e x(lnx)^n dx and I_0 =∫_1 ^e xdx Which of the following is true ? a\ 0≤I_n ≤(e^2 /(n+2)) b\1≤I_n ≤(e^2 /(n+1)) c\I_n is negative |
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if f(x)=2x^2 −12x+10. (i) sketch the graph of y=∣f(x)∣ for −1≤x≤7. (ii) find the set of values of k for which the equation ∣f(x)∣=k has 4 distinct roots. |
A cricket club has 15 members, of whom only 5 can bowl. If the names of 15 members are put into a box and 11 are drawn at random, then the probability of obtaining an 11 containing at least 3 bowlers is |
In a △ABC, Σ a^2 (sin^2 B −sin^2 C) = |
Pg 992 Pg 993 Pg 994 Pg 995 Pg 996 Pg 997 Pg 998 Pg 999 Pg 1000 Pg 1001 |