Equation of a line Practice Questions - NDA Mathematics Question Bank

Question 1 of 5 NDA MCQ

What is the equation of the straight line which

passes through the point (1, - 2) and cuts off

equal intercepts from the axes?

Detailed Explanation

Explanation:

Since straight line cuts off equal intercepts from the axes.

∴ x/a + y/a = 1

⇒ x + y = a

Since it passes through (1, -2)

∴ 1 - 2 = a

⇒ a = -1

∴ Required equation is

x + y + 1 = 0

Hints:

• Equation of straight line cuts off equal intercept is

x/a + y/a = 1

Question 2 of 5 NDA MCQ

The equation of the locus of a point equidistant from the points (a, b) and (c, d) is (a - c)x + (b − d)y + k = 0. What is the value of k?

Detailed Explanation

Question 3 of 5 NDA MCQ

For different values of m, the equation 4y = mx - m + 2 represents

Detailed Explanation

Question 4 of 5 NDA MCQ

ABC is an equilateral triangle and AD is the altitude on BC. If the coordinates of A are (1, 2) and that of D are (–2, 6) then what is the equation of BC?

Detailed Explanation

Question 5 of 5 NDA MCQ

If a line Where p = 2q = 3r makes an angle with the position direction of the y-axis then what is cos 2q equal to?

Detailed Explanation

Equation of a line

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