Straight Lines questions
982 published questions with worked solutions.
- The difference of the tangents of the angles which the lines x^2 ( ^2 - ^2 )-2xy +y^2 ^2 =0 make with the x-axis is
- Which of the following pair of straight lines intersect at right angle?
- The equation x^2+k_1y^2+k_2xy=0 represents a pair of perpendicular lines if
- If the area of the triangle formed by the pair of lines given by 8x^2-6xy+y^2=0 and the line 2x+3y=a is 7, then a=
- The equations to the straight lines passing through the origin and making an angle with the straight line y+x=0 are given by
- If the slope of one of the lines given by 36x^2+2hxy+72y^2=0 is four times the other, then h^2=
- If the lines represented by the equation ax^2+2hxy+by^2+2gx+2fy+c=0 are equidistant from the origin, then
- A straight line L through the point (3,-2) is inclined at an angle 60^ to the line 3x+y=1. If L also intersects the X-axis, then...
- Let O(0,0), P(3,4) and Q(6,0) be the vertices of a OPQ. The point R inside the OPQ is such that the triangles OPR, PQR and OQR...
- A straight line through the origin O meets the parallel lines 4x+2y=9 and 2x+y+6=0 at points P and Q respectively. Then, the...
- The points (-a,-b), (0,0), (a,b) and (a^2,ab ) are
- Area of triangle formed by the lines x+y=3 and angle bisectors of the pair of straight lines x^2-y^2+2y=1 is
- Let the point P( , ) be at a unit distance from each of the two lines L_ 1 : 3x − 4y + 12 = 0 and L_ 2 : 8x + 6y + 11 = 0. If P...
- A line, with the slope greater than one, passes through the point A(4, 3) and intersects the line x − y − 2 = 0 at the point B....
- If the two lines _ 1 : (x − 2)/3 = (y + 1)/(−2), z = 2 and _ 2 : (x − 1)/1 = (2y + 3)/ = (z + 5)/2 are perpendicular, then an...
- The locus of mid-points of the line segments joining (–3, –5) and the points on the ellipse x^2 4 + y^2 9 =1 is :
- Let A be the set of all points ( , ) such that the area of triangle formed by the points (5, 6), (3, 2) and ( , ) is 12 square...
- If the orthocenter of the triangle, whose vertices are (1, 2), (2, 3) and (3, 1) is ( , ), then the quadratic equation whose...
- The combined equation of the two lines ax + by + c = 0 and a'x + b'y + c' = 0 can be written as (ax + by + c) (a'x + b'y + c') =...
- A straight line L through the point (3, -2) is inclined at an angle 60^ to the line 3 x + y = 1. If L also intersects the x-axis,...
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