AP ICET 26th April 2019 Shift-2

As per the question,

Percentage of people own motorcycle $$=90\%$$

Percentage of people own car$$=15\%$$

Let total population of the village =100

Total  number of people who do not own the motorcycle $$=100-90=10$$

As per the question, it is given that, every people of the village own either car or motorcycle or both.

But as per the above, 10% people don't own motorcycle, Hence, 10% people own Car but not motorcycle.

As per the given equation in the question,

$$\Rightarrow x + 2y - 3 = 0$$ the slope of the line $$m_1=\dfrac{-1}{2}$$

Let the slop of the required line is $$m_2$$.

When two lines are perpendicular to each other, then $$m_1\times m_2=-1$$

$$\Rightarrow m_2=\dfrac{-1}{\dfrac{-1}{2}}=2$$

We know the equation of line $$y=m_2 x+c$$

The above mentioned line is passing through the point (2,3)

So, $$3=4+c$$

$$\Rightarrow c=-1$$

Hence the equation of line $$y=2x-1$$

$$\Rightarrow 2x-y-1=0$$

As per the given equation in the question,

5x + 3y + 7 = 0 and ax - 7y + 8 = 0

Slope of the line 1, $$m_1=\dfrac{3}{5}$$ and slope of line 2, $$m_2=\dfrac{7}{a}$$

When two lines are perpendicular to each other, then $$m_1 \times m_2=-1$$

Now, substituting the values $$\dfrac{3}{5}\times \dfrac{-7}{a}=-1$$

$$a=\dfrac{5}{21}$$

As per the given question,

$$\tan (-855^\circ)=\tan(5\pi -45)$$

It will lie on the 3rd co-ordinate,

Hence $$\tan(5\pi -45)=-\tan 45^\circ=-1$$

Hence, option A is the correct answer.