Straight Lines questions
982 published questions with worked solutions.
- If a,b,c are in AP, then the straight line ax+by+c=0 will always pass through the point
- If x_1,x_2,x_3 as well as y_1,y_2,y_3 are in GP with the same common ratio, then the points (x_1,y_1),(x_2,y_2) and (x_3,y_3)
- Let a,b,c be in arithmetic progression. Let the centroid of the triangle with vertices (a,c), (2,b) and (a,b) be ( 10 3, 73 ). If...
- A ray of light through (2, 1) is reflected at a point P on the y-axis and then passes through the point (5, 3). If this reflected...
- The point P(a,b) undergoes the following three transformations successively : (a) reflection about the line y = x. (b)...
- Let A be a fixed point (0, 6) and B be a moving point (2t, 0). Let M be the mid-point of AB and the perpendicular bisector of AB...
- The angle between the straight lines, whose direction cosines are given by the equations 2 +2m-n=0 and mn+n + m=0, is
- Let A (a, 0), B(b, 2b + 1) and C(0, b), b 0, |b| 1 be points such that the area of triangle ABC is 1 sq. unit, then the sum of...
- If the curve x^2+2y^2=2 intersects the line x + y = 1 at two points P and Q, then the angle subtended by the line segment PQ at...
- The image of the point (3, 5) in the line x – y + 1 = 0, lies on :
- The locus of the point of intersection of the lines ( 3)kx+ky–4 3=0 and 3x–y–4( 3)k=0 is a conic, whose eccentricity is _______.
- Let the equation of the pair of lines, y = px and y = qx, can be written as (y – px) (y – qx) = 0. Then the equation of the pair...
- Let ABC be a triangle with A(–3, 1) = , 0< < 2 , If the equation of the median through B is 2x + y – 3 = 0 and the equation of...
- The locus of a point, which moves such that the sum of square of its distances from the points (0,0), (1,0), (0,1) (1,1) is 18...
- If the locus of the mid-point of the line segment from the point (3, 2) to a point on the circle, x^2+y^2=1 is a circle of radius...
- Let A(3/ a , a ), a > 0, be a fixed point in the xy-plane. The image of A in y-axis be B and the image of B in x-axis be C. If...
- Let the area of the triangle with vertices A(1, ), B( , 0) and C(0, ) be 4 sq. units. If the points ( , - ), (- , ) and ( ^ 2 , )...
- The sum of slopes of lines 3x^2+5xy-2y^2=0 is
- The equation y= 3x, y=1 are the sides of
- The equation 12x^2+7xy+ay^2+13x+9y+3=0 represents a pair of perpendicular lines. Then, the value of 'a' is
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