Subject: Maths, asked on 3/5/18

## let alpha,beta,gamma be three numbers such that 2(alpha beta+beta gamma+gamma alpha)=alpha beta gamma ,1/alpha2 +1/beta2 +1/gamma2 =9/4 and alpha+beta+gamma=2 then value of alpha beta gamma is (ans is  -4)

Subject: Maths, asked on 25/4/18

## 5th question Q.5. The quadratic expression $21+12x-4{x}^{2}$ takes (a) the least value 5 (b) the highest value 30 (c) the highest value 21 (d) none of these

Subject: Maths, asked on 18/4/18

## Q. The curve satisfying the differential equation , (x2-y2) dx +2xy dy = 0  and passing through the point (1,1)  is  :  (a)  an ellipse  (b)  a hyperbola   (c)  a circle of radius one   (d)  a circle of radius two

Subject: Maths, asked on 9/4/18

## please help me solve this question: 8. Solution of the differential equation $\frac{dx}{dy}=\frac{x+y+7}{2x+xy+3}$ is.

Subject: Maths, asked on 23/3/18

## Find the HCF of the polynomials P(x)=24(6x4-x3-2x2) and Q(x)=20(2x6+3x5+x4).

Subject: Maths, asked on 23/3/18

## No links please Q.  If the rate of increase of population is 8% per year, then in how many years the population will be doubled? Use differential equation for it. Subject: Maths, asked on 22/3/18

## No links please Q.(i) Find the value of Ans : 1

Subject: Maths, asked on 21/3/18

## No links please Q(i). Let : f : N $\cup${O} $\to .N\cup \left\{O\right\}$ be defined by            f (n) =      Show that f  is invertible and  f = f –1.

Subject: Maths, asked on 21/3/18

## No links please Q.(ii) Show that the length of the portion of tangent to the curve ${x}^{2}{3}}+{y}^{2}{3}}={a}^{2}{3}}$ at any point of it, intercepted between the coordinate axes is constant.

Subject: Maths, asked on 21/3/18

## No links please Q. Find the order and degree of the differential equation $y=x\left(\frac{dy}{dx}\right)+\sqrt{{a}^{2}{\left(\frac{dy}{dx}\right)}^{2}+{b}^{2}}$ (vi) Ans : Degree - 2, Order - 1

Subject: Maths, asked on 21/3/18

## No links please Q. (iii) For x > 0 prove that $x-\frac{{x}^{2}}{2}<\mathrm{log}\left(1+x\right)

Subject: Maths, asked on 20/3/18

Subject: Maths, asked on 20/3/18

## No links please Q.C) i) Differentiate ${\mathrm{tan}}^{-1}\frac{\sqrt{1+{x}^{2}}-1}{x}$ with respect to ${\mathrm{tan}}^{-1}\frac{2x\sqrt{1-{x}^{2}}}{1-2{x}^{2}}$ at x = 0.

Subject: Maths, asked on 20/3/18

## let the function x(t) and y(t) satisfy the diffrential equatiion dx/dt + ax =0, dy//dt +by = 0 If x(0)= 2, y(0)= 1 and x(1)/y(1) = 3/2 then x(t) = y(t) fot t=

Subject: Maths, asked on 19/3/18