Find the equation of the line parallel to yaxis and drawn through the point of intersection of the lines x−7y+5=0and 3x+y=0.
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In the triangle ABC with vertices A (2, 3), B (4, –1) and C (1, 2), find the equation and length of altitude from the vertex A.
If x2+2hxy+y2=0 represents the equation of the straight lines through the origin which make an angle α with the straight line y+x=0
(c)2sinα =h(1+h) (d) cotα =(h−1)(1+h)
Find the new coordinates of point (3,4) if the origin is shifted to (1, 2) by a translation.
Consider the following population and year graph, find the slope of the line AB and using it, find what will be the population in the year 2010?
x+y=7 and ax2+2hxy+ay2=0,(a=0) , are three real distinct lines forming a triangle. Then the triangle is (a) isosceles (b) scalene equilateral (d) right angled
Find the values of k for which the line (k−3)x−(4−k2)y+k2−7k+6=0is(a) Parallel to the xaxis,(b) Parallel to the y axis,(c) Passing through the origin.
The distance between the two lines represented by the equation 9x2−24xy+16y2−12x+16y−12=0 is
(a) 58 (b) 56 (c) 511 (d) none of these
If (-2,6) is the image of the point (4,2) with respect to line L=0, then L is: