1 - According to Pythagoras theorem, distance between points (-3, 8) and (8, -5) is
17.03 units
2 - Acute angle between the lines with slopes3/4 and 1/7 is
45°
3 - Distance between points (2, 5) and (7, -3) is
9.43
4 - Find the equation of the line which cuts off equal and positive intercepts on the axes and their sum is 12.
x + y = 6
5 - Find the intercepts made by the line 2x – 3y + 6 = 0 with the coordinate axes.
–3, 2
6 - Find the value of k, if the distance between the points (1, 4), (k, 1) is 5.
–3 or 5
7 - If a line passes through point A(0, c) and has gradient 'm' then equation will be
y = mx + c
8 - If coordinates of A and B are (2, 2) and (9, 11) respectively then length of line segment AB is
11.4
9 - If coordinates of A and B are (5, 6) and (9, 10) respectively then length of line segment AB is
5.66
10 - If points of straight line are A(1, 2) and B(6, 2) then line AB is
horizontal line with equation y = 2
11 - If points of straight line are M(7, 1) and N(7, 2) then line MN is
vertical line with equation with x = 7
12 - If straight line passes through points X(1. 4) and Y(3, 7) then its equation will be
3⁄2x + 5⁄2
13 - If y = 5x + c passes through point A(5, 2) then value of 'c' is
−23
14 - In gradient-intercept form of equation y = mx + c, 'c' denotes
intercept on y-axis
15 - In gradient-intercept form of equation y = mx + c, 'm' denotes
gradient of straight line
16 - In gradient-intercept form of equation y = mx + c, point where line cuts y-axis is
(0, c)
17 - Straight line equation y = 5x - 2 has gradient of
5
18 - Straight line equation y = x⁄2 + 1⁄4 has gradient of
1⁄2
19 - Straight line equation y = x⁄3 + 1⁄4 cuts y-axis at point
(0, 1⁄4)
20 - The equation of a straight line passing through (6, –3) and (4,–3) is
y + 3 = 0
21 - The equation of a straight line whose inclinations is 60° and y–intercept is –2 is
y = √x - 2
22 - The equation of the image of the line x + 2 = 0 with respect to x = 0 is
None of these
23 - The equation of the line whose intercept on the axes are 4 and 3 is
3x + 4y =12
24 - The following points (3a, 0), (0, 3b), (a, 2b) forms a
straight line
25 - The following points (3a, 0), (0, 3b), (a, 2b) forms a
triangle
26 - The following points A (–1, 0), B (3, 1), C (2, 2) and D (–2, 1) taken in order form a
parallelogram
27 - The points (4, – 5), (1, 1), (–2, 7) are
collinear
28 - The points A(–1, 4), B(5, 2) are the vertices of a triangle of which C(0,–3) is centroid, then the third vertex C is
–4, –15
29 - The points whose coordinates are (2, 2), (6, 3),(4, 11) forms
a right angle
30 - What is the equation of a circle of radius 6 units centered at (3, 2)?
x² + y² - 6x - 4y = 23
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