The equation of the locus of the point whose distance from y-axis is half the distance from origin is
x² + 3y² = 0
3x² - y² = 0
3x² + y² = 0
None
Which of the following equation is the locus of (at², 2at)
x²/a² +y²/b²=1
x²/a² -y²/b²=1
y² = 4ax
None
Which of the following point lie on the locus of 3x² + 3y² - 8x - 12y + 17 = 0
(-2, 3)
(0, 0)
(-1, 3)
(1, 2)
f the point (8,-5) lies on the locus x²/16 - y²/25 = k, then the value of k is
0
1
2
3
Straight line joining the points (2, 3) and (-1, 4) passes through the point (α,β) if
α + 2β =7
α + 3β =9
α + 3β =11
3α + β =11
The slope of the line which makes an angle 45̊ with the line 3x - y = -5 are
1,-1
1/2,-2
1,1/2
2,-1/2
Equation of the straight line that forms an isosceles triangle with coordinate axes in the I-quadrant with perimeter 4 + 2√2 is
x + y +2 = 0
x + y - 2 = 0
x + y - √2 = 0
x + y +√2 = 0
The coordinates of the four vertices of a quadrilateral are (-2,4), (-1,2), (1,2) and (2,4) taken in order.The equation of the line passing through the vertex (-1,2) and dividing the quadrilateral in the equal areas is
x + 1 = 0
x +y = 1
x + y + 3 = 0
x - y + 3 = 0
The intercepts of the perpendicular bisector of the line segment joining (1, 2) and (3,4) with coordinate axes are
5,-5
5,5
5,3
5,-4
The equation of the line with slope 2 and the length of the perpendicular from the origin equal to √5 is
x + 2y = √5
2x + y = √5
2x + y = 5
x + 2y -5= 0
A line perpendicular to the line 5x - y = 0 forms a triangle with the coordinate axes. If the area of the triangle is 5 sq. units, then its equation is
x+ 5y ± 5√2 = 0
x- 5y ± 5√2 = 0
5x+ y ± 5√2 = 0
5x- y ± 5√2 = 0
Equation of the straight line perpendicular to the linex-y+5 = 0, through the point of intersection the y-axis and the given line
x - y - 5 = 0
x + y - 5 = 0
x + y + 5 = 0
x + y + 10 = 0
If the equation of the base opposite to the vertex (2, 3) of an equilateral triangle is x + y = 2, then the length of a side is
√ 3/2
6
√6
3/√2
The line (p + 2q)x + (p - 3q)y = p - q for different values of p and q passes through the point
(3/2, 5/2)
(2/5, 2/5)
(3/5, 3/5)
(2/5, 3/5)
The point on the line 2x - 3y = 5 is equidistance from (1,2) and (3, 4) is
(7, 3)
(4, 1)
(1, -1)
(-2, 3)
The image of the point (2, 3) in the line y = -x is
(-3, -2)
(-3, 2)
(-2, -3)
(3, 2)
The length of ┴ from the origin to the line x/3 – y/4 = 1, is
11/5
5/12
12/5
-5/12
The y-intercept of the straight line passing through (1,3) and perpendicular to 2x - 3y + 1 = 0 is
3/2
9/2
2/3
2/9
If the two straight lines x + (2k - 7)y + 3 = 0 and 3kx + 9y - 5 = 0 are perpendicular then the value of k is
3
1/3
2/3
3/2
If a vertex of a square is at the origin and its one side lies along the line 4x + 3y - 20 = 0, then the area of the square is