Single Choice

Write an equation of the horizontal line through the point $$(7,-5)$$

A$$-5y=7x+3$$
B$$y=-5$$
Correct Answer
C$$x=7$$
Dnone of these

Solution

The equation of a straight line is $$y = mx +b$$
For a horizontal line $$m = 0$$.
So, $$y = b$$ and since the line must pass through $$x = 7, y = - 5$$,
$$b$$ must be $$-5$$
Therefore, $$y=-5$$.

SIMILAR QUESTIONS

Number Systems

The line which is parallel to x-axis and crossed the curve $$\displaystyle y=\sqrt { x } $$ at an angle $$\displaystyle { 45 }^{ \circ }$$, is

Number Systems

The shortest distance between the line $$y=x$$ and the curve $$y^2=x-2$$ is :

Number Systems

Slope of a line passing through $$P(2, 3)$$ and intersecting the line, $$x+y=7$$ at a distance of $$4$$ units from P, is?

Number Systems

The line $$x = y$$ touches a circle at the point $$(1, 1)$$. If the circle also passes through the point $$(1, -3)$$ then its radius is:

Number Systems

The two adjacent sides of a cyclic quadrilateral are 2 and 5 and the angle between them is 60o. If the area of the quadrilateral is 4 √ 3 , then the perimeter of the quadrilateral is :

Number Systems

A wire $$34$$ cm long is to bent in the form of a quadrilateral of which each angle is $$90^{\circ}$$. What is the maximum area which can be enclosed inside the quadrilateral?

Number Systems

The number of integral values of $$\lambda$$ for which $$x^{2} + y^{2} + \lambda x + (1 - \lambda)y + 5 = 0$$ is the equation of a circle whose radius cannot exceed $$5$$, is

Number Systems

The equation of the circle circumscribing the triangle formed by the lines $$x+y=6$$, $$2x+y=4$$ and $$x+2y=5$$ is:

Number Systems

Find the length of longer diagonal of the parallelogram constructed on $$5a + 2b $$ and $$a - 3b$$, if it is given that $$|a| = 2 \sqrt 2, |b| = 3$$ and the angle between $$a$$ and $$b$$ is $$\dfrac{\pi}{4}$$, is

Contact Details