Class 12th

Out of all the patients in a hospital 89% are found to be suffering from heart ailment and 98% are suffering from lungs infection. If K% of them are suffering from both ailments, then K can not belong to the set:

Directions for questions: Answer the following questions based on the information given below.

The above graph shows the number of cars owners of three different company in eight different states of India.

If SUZUKI, FORD and TATA have each decided to facilitate service centre in those cities where its cars owners are highest in number, which of the following cities will avail themselves of this facility?

The number of bridged oxygen atoms present in compound B formed form the following reaction is   $Pb{\left(N{O}_3\right)}_2\stackrel{673K}{\to }A+PbO+O_2$ ${{}_{}}_{}\stackrel{}{}{}_{}$

$A\stackrel{Dimerise}{\to }B$

Directions for questions: Answer the following questions based on the information given below.

The above graph shows the number of cars owners of three different company in eight different states of India.

By what percent the number of TATA cars owner in Surat is less than that of Suzuki in Darjeeling ?

Let a,b $\in R,b\ne 0.$  Define a function f(x) =   $\{\begin{array}{cc}\hfill asin\frac{\pi }{2}\left(x-1\right),\hfill & \hfill forx\le 0\hfill \\ \hfill \frac{tan2x-sin2x}{b{x}^3},\hfill & \hfill forx>0\hfill \end{array}$

If f is continuous at x = 0, then 10 – ab is equal to__________

Let $z=\frac{1-i\sqrt[]{3}}{2},i=\sqrt[]{-1}.$  Then the value of

$21+{\left(z+\frac{1}{z}\right)}^3+{\left(z^2+\frac{1}{z^2}\right)}^3+{\left(z^3+\frac{1}{z^3}\right)}^3+.....+{\left(z^{21}+\frac{1}{z^{21}}\right)}^{3}is\_\_\_\_\_\_\_\_\_.$

Directions for questions: Answer the following questions based on the information given below.

The above graph shows the number of cars owners of three different company in eight different states of India.

In how many cities in India were there more than 13% of the total TATA cars owners in the country? Assume no other city besides the given eight cities has TATA cars owners.

If y = y(x) is an implicit function of x such that log_e (x + y) = 4xy, then $\frac{d^{2}y}{d{x}^2}atx=0$  is equal to

Let the line L be the projection of the line $\frac{x-1}{2}=\frac{y-3}{1}=\frac{z-4}{2}$  in the plane x – 2y – z = 3. If d is that distance of the point (0, 0, 6) from L, then d² is equal to____________.