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Class XI Maths Straight Lines 6: Important Questions
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Question 1
On shifting the origin to the point (2, –5) and keeping the axis parallel the new coordinates of the point (5, –3) will be-
Question 2
At what point the origin be shifted, if the coordinates of point (4, 5) becomes (–3, 9)
Question 3
Reflecting the point (2, –1) about Y axis coordinate; axis are rotated at 45º angle in negative direction without shifting the origin. The new coordinates of the point are-
Question 4
The equation of the straight line on which the length of the perpendicular from the origin is 2 and the perpendicular makes an angle α with
x-axis such that sinα = is -
x-axis such that sinα = is -
Question 5
If one vertex of an equilateral triangle of side 'a' lies at the origin and the other lies on the line x –y = 0, the co-ordinates of the third vertex are
Question 6
Let A = (1, 2), B = (3, 4) and let C = (x, y) be a point such that (x–1) (x–3) + (y – 2) (y – 4) = 0. If ar (ΔABC) = 1 then maximum number of positions of C in the x-y plane is
Question 7
One of the bisectors of the angle between the lines a (x – 1)2 + 2h (x – 1) (y – 2) + b (y – 2)2 = 0 is x + 2y – 5 = 0 The other bisector is -
Question 8
If the two pairs of lines x2 – 2mxy – y2 = 0 and x2 – 2nxy – y2 = 0 are such that one of them represents the bisectors of the angles between the other, then -
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Dec 28JEE & BITSAT