Frequent Disucss Test Question Questions

The no. of solution of the 3sinx=4-(√6)cosx in the interval [0,2π] is ...

The centre of the smallest circle containing the circles x2+y2=4 and (x-8)2+y2=16 is ...

Orthocentre of triangle formed by the lines whose combined equation is (y2-5xy-x2)(3x-2y+8)=0 is ...

solve the differential equation (2y3+x)dy=ydx ,the curve passes through (0,1) ...

The area bounded by the curves 6|x|+7|y|=21 is ...

\int_{0}^{\pi /2}{[sin^{3}xcosx]dx} where [.] is the greatest integer function ...

The length of the longest interval in which the function 3sinx-4sin3x is increasing, is ...

lim(x→0) 1-cos(2πx) /x ...

\begin{vmatrix} a+b-2 &a+b &a+b+2 \\ b-1 &b &b+1 \\ c-1 &c &c+1 \end{vmatrix} for values of (a,b,c)=(12,17,8) find the value of determinant ...

The remainder when 1!+2!+3!+....+100! is divided by 18 ...

\int_{\pi /6}^{\pi /2}{log(sinx)cotxdx} ...

The maximum value of cos(ex) where x>0 is ...

\int_{-\pi }^{\pi }{\frac{xsinxcos^{2}xdx}{e^{x}+1}} ...

The function f(x)=(x-sinx)/x3 is continuous at x=0, then f(0) is ...

The domain of the function y=1/ln(1-x)+ x+1 ...

Complex numbers z1, z2 and z3 satisfying (z1-z3)/(z2-z3)=(1-√3)/2 are the vertices of a triangle which is ...

The sum of the coefficients of the polynomial (1-x-x2)313 ...

If a2+b2+c2=1, then ab+bc+ca lies in the interval ...

if the quadratic equations x2+ax+b=0 and x2+bx+a=0 have a common root, then the numerical value of a+b is ...

When KI and CuSO4 solutions are mixed, it gives ...

Which of the following about H2S is false? ...

Which of the following does not give NH3 on heating? ...

Which of the following is correct order of first ionization potential? ...

A gas X is passed through water to form a saturated solution. The aqueous solution on treatment with AgNO3 gives a white precipitate. The saturated aqueous solution also dissolves magnesium ribbon with evolution of colourless ...

The geometry of Ni(CO)4 and Ni(PPh3)2Cl2 are ...

Which of the following statements is incorrect about H2O2? ...

Which one of the following would give methylamine when treated with acetamide? ...

Acetanilide on nitration followed by alkaline hydrolysis mainly gives ...

Product is CH3CH2COOH Red P+Br2 > ...

ethyne dil. H2SO4/ HgSO4 >A NaOH >B B is ...