SENAPREP
Equation of a line Questions
Chapter: Analytical Geometry of Two & Three-Dimensions | Total Available: 40 Real Questions
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
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?
For different values of m, the equation 4y = mx - m + 2 represents
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?
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?
Direction: Consider the following for the next two items that follow:
ABCD is an isosceles trapezium and AB is parallel to DC. Let A(2, 3), B(4, 3), C(5, 1) be the
vertices
What are the coordinates of vertex D?
The diagonals of a quadrilateral ABCD are along the lines x – 2y = 1 and 4x + 2y = 3. The quadrilateral ABCD may be a
If two sides of a square lie on the lines 2x + y – 3 = 0 and 4x + 2y + 5 = 0, then what is the area of the square in square units?
Two points P and Q lie on line y = 2x + 3. These two points P and Q are at a distance 2 units from another point R(1, 5). What are the coordinates of the points P and Q?
What is the sum of the intercepts of the line
on the coordinate axes?
