What is the equation of the straight line cutting off an intercept 2 from the negative direction of y-axis and inclined at 30° with the positive direction of x-axis ?
What is the equation of the line passing through the point of intersection of the lines x + 2y - 3 = 0 and 2x - y + 5 = 0 and parallel to the line y - x + 10 = 0
7x - 7y + 18 = 0
5x - 7y + 18 = 0
5x - 5y + 18 = 0
x - y + 5 = 0
Consider the following statements :
Which of the above is/are correct ?
1, 2 and 3
1 only
1 and 2 only
2 only
What is the equation of the straight line passing through the point (2, 3) and making an intercept on the positive y-axis equal to twice its intercept on the positive x-axis ?
2x + y = 7
x + 2y = 7
2x - y = 1
The perpendiculars that fall from any point of the straight line 2x + 11y = 5 upon the two straight lines 24x + 7y = 20 and 4x - 3y = 2 are :
2 and 4 respectively
11 and 5 respectively
Equal to each other
Not equal to each other
The equation of the line, when the portion of it intercepted between the axes is divided by the point(2, 3) in the ratio of 3 : 2, is
Either x + y = 4 or 9x + y = 12
Either x + y = 4 or x + 9y = 12
Either x + y = 5 or 9x + 4y = 30
Which one of the following is correct in respect of the cube roots of unity ?
They are collinear
They lie on a circle of radius
They form an equilateral triangle
None of the above
The top of a hill observed from the top and bottom of a building of height h is at angles of elevation and respectively. What is the height of the hill ?
2h
h