Straight Lines questions
982 published questions with worked solutions.
- ABCD is a square. The equations of AB, AD and BD are y=0, x=0 and x+y-4=0 respectively. What is the equation of AC?
- ABC is a triangle, where the vertices A and B are fixed points both lying on the x-axis. Let AB=10 cm. The vertex C moves such...
- A parallelogram has three consecutive vertices (-3, 4), (0, -4) and (5, 2). The fourth vertex is
- If the lines y+px=1 and y-qx=2 are perpendicular, then which one of the following is correct?
- If A, B and C are in AP, then the straight line Ax+2By+C=0 will always pass through a fixed point. The fixed point is
- If the image of the point (-4, 2) by a line mirror is (4, -2), then what is the equation of the line mirror?
- Consider the following statements in respect of the points (p, p-3), (q+3, q) and (6, 3) : 1. The points lie on a straight line....
- What is the acute angle between the lines x-2=0 and 3 x-y-2=0?
- The point of intersection of diagonals of a square ABCD is at the origin and one of its vertices is at A(4, 2). What is the...
- What is the angle between the two lines having direction ratios 6, 3, 6 and 3, 3, 0 ?
- For what values of k is the system of equations 2k^2x+3y-1=0, 7x-2y+3=0, 6kx+y+1=0 consistent?
- Let L_1 and L_2 be the following straight lines. L_1: x-1 1 = y -1 = z-1 3 and L_2: x-1 -3 = y -1 = z-1 1 . Suppose the straight...
- Consider a triangle whose two sides lie on the x-axis and the line x + y + 1 = 0. If the orthocenter of is (1, 1), then the...
- Let X = (x, y) Z Z : x^2 8 + y^2 20 < 1 and y^2 < 5x . Three distinct points P, Q and R are randomly chosen from X. Then the...
- The equations of the sides AB, BC and CA of a triangle ABC are 2x + y = 0, x + py = 39 and x − y = 3 respectively and P(2, 3) is...
- Let A(1, 1), B(−4, 3), C(−2, −5) be vertices of a triangle ABC, P be a point on side BC, and _ 1 and _ 2 be the areas of...
- For t (0, 2 ), if ABC is an equilateral triangle with vertices A(sin t, −cos t), B(cos t, sin t) and C(a, b) such that its...
- Let a triangle be bounded by the lines L_ 1 : 2x + 5y = 10; L_ 2 : −4x + 3y = 12 and the line L_ 3 , which passes through the...
- If the tangents drawn at the points O(0, 0) and P(1 + 5 , 2) on the circle x^ 2 + y^ 2 - 2x - 4y = 0 intersect at the point Q,...
- Let the circumcentre of a triangle with vertices A(a, 3), B(b, 5) and C(a, b), ab > 0 be P(1, 1). If the line AP intersects the...
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