Q.1
For which value of k the points (1, 4), (k, -2) and (-3, 16) will be collinear ?

Q.2
If the distance between the points (a, 4) & (3, 2) is 2 $\sqrt{2}$ the value of a will be : -

Q.3
Points (7, 3), (3, 0), (0, -4) and (4, -1) are the vertices of a :-

Q.4
Find the centre of that circle on which the points (-3, -2), (-2, 3) and (3, 3) are situated ?

Q.5
If two vertices of an equilateral $\Delta$ are (1, 1) & (-1, -1) then the 3rd vertex will be ?

Q.6
If the points (4, 0), (-5, 0) & (0, 0) are the vertices of a triangle then find the area of that triangle ?

Q.7
If the points (0, 0), (5, 5) & (-5, 5) are the vertices of a triangle then this triangle will be -

Q.8
Find the co-ordinates of that point which bisects the line segment joining the points (1, 2) & (11, 9) -

Q.9
If the point (4, 3) is the centroid of a triangle and A (x, y), B(-3, 7), C(9, 7) are the vertices of the triangle then area of the $\Delta$ is -

Q.10
For which value of k the points (1, 4), (k, -2) & (-3, 16) are collinear ?

Q.11
For which constraint, the following lines x+y+z = 7 and ax+ $\beta$ y+ $\gamma$ z = 3 will be parallel (But not coincident) :

Q.12
What will be the angle between the lines y = (2- $\sqrt{3}$ ) x + 5 and y = (2+ $\sqrt{3}$ ) x - 7 ?

Q.13
What will be the angle between the straight lines x+y=0 and x-y=0 ?

Q.14
If A (2,3), B (1, 4), C(0, -2) & D(x, y) are the vertices of a parallelogram then the value of (x,y) will be ?

Q.15
The slope of the line segment joining the points (1, 1) and (2, 2) will be -

Q.16
The slope of the line segment joining the points (3, 2) and (1, 1) will be ?

Q.17
The triangle with vertices A(2, 4), B(2, 6) and C(2+ $\sqrt{3}$ ,5) is a triangle of type -

Q.18
The area of that $\Delta$ Which is inscribed by x-axis, y-axis and the line 4x+5y-20 = 0 is -

Q.19
The inclination of straight line y = $\sqrt{3}$ x+4 with positive x-axis is -

Q.20
If P be the length of the perpendicular drawn from origin to the line x+2by = 2P then the value of b is -

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