There are 10 points in a plane. No three of these pointsare in a straight line. What is the total number of straight lines which can be formed by joining the points ?
90
45
40
30
If the angles of a triangle ABC are in the ratio 1 : 2 : 3, then the corresponding sides are in the ratio :
1 : 2 : 3
3 : 2 : 1
1 : : 2
Consider the following statements :
1.For an equation of a line, xcos + y sin(= p, in normal form, the length of the perpendicular from the point
2. The length of the perpendicular from the point
Which of the above statements is/are correct ?
1 Only
2 Only
Both 1 and 2
Neither 1 nor 2
The points (1, 3) and (5, 1) are two opposite vertices of a rectangle. The other two vertices lie on the line y = 2x + c. What is the value of c ?
2
- 2
4
- 4
If the lines 3y + 4x = 1, y = x + 5 and 5y + bx = 3 are concurrent, then what is the value of b ?
1
3
6
What is the equation of the straight line which is perpendicular to y = x and passes through (3, 2) ?
x - y = 5
x + y = 5
x + y = 1
x - y = 1
The straight lines x + y - 4 = 0, 3x + y - 4 = 0 and x + 3y - 4 = 0, form a triangle, which is :
isosceles
right - angled
equilateral
scalene
The angle of elevation of a tower of height h from apoint A due South of it is x and from a point B due East of A is y. If AB = z, then which one of the following is correct ?
What is the distance between the points which divide the line segment joining (4, 3) and (5, 7) internally and externally in the ratio 2 : 3 ?
A.
What is the angle between the straight lines (m2 - mn)y = (mn + n2) x + n3 and (mn + m)y = (mn - n)r + m3, where m > n ?
450