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                   if f:R->[pi/6,pi/2),f(x)= arcsin (x^2 - a/x^2 + 1) is a onto function,den set of values of "a" is.....


3 years ago

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                                        Ans:$y = sin^{-1}(x^{2}-\frac{a}{x^{2}}+1)$$(x^{2}-\frac{a}{x^{2}}+1)=siny$$x^{4}+(1-siny)x^{2}-a=0$This is simple Quadratic in x2,$\Delta \geq 0$$(1-siny)^{2}\geq 4.(-a)$$sin^{2}y-2siny+1+4a\geq 0$$\Delta <0$$4<4(4a+1)$$a>0$Thanks & RegardsJitender SinghIIT DelhiaskIITians Faculty

one year ago

2x2= 5 then 5x5= how much?

may be 26 or 16 26=5x5+1.......................5=2x2+1 16=5x5=(2x2)x(2x2)

 noogler 4 months ago

16

 suraj kumar 4 months ago
sir, I have aquestion,pl. solve my problem. Find domain of Y=cos -1 (x 2 /1+x 2 )

Dear Student, The domain of the function, y = cos -1 x is -1 <= x<=1. So Use this information to find the domain. Thanks.

 Vijay Mukati one month ago
lim x tends to infinity {x-(x 2 +x) 1/2 }

ANSWER -1/2 SOLUTION: lim x tends to infinity {x-(x 2 +x) 1/2 } first solve the algebra by replacing x by 1/t {1/t-(1/t 2 +1/t) ½ } {1/t-(1+t) 1/2 /t} {(1-(1+t)1/2)/t} now rationalise...

 Prince Sharma 5 months ago

then divide the complete expression you will get the answer a 1 hey it will be then divide the complete expression by x and substiture x equals infinity you will get the answer equal to 1...

so sorry we have to rationalise it first then the term of x square will be cancelled then divide the complete expression you will get the answer a 1 approve if useful

the two sides of triangle is given by the roots of equation as x2-5x+6 then perimeter of triangle

Common sense which is very uncommon.

 saahil karnik 2 months ago

how

 Karthik Pasupulatei 3 months ago

A

 saahil karnik 3 months ago
why do we get difficulty in maths

Lack of Practice....!!!

 Vijay Mukati 5 months ago

MATHS is very important subject u need a lot of practice of questions not of same type u can start with solved examples then proceed to unsolved self confidence will be developed...

 ng29 5 months ago

even if i have practice self confidance is most important

 Nicho priyatham 5 months ago
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