Straight Lines questions
982 published questions with worked solutions.
- Let PS be the median of the triangle with vertices P(2, 2), Q(6, -1) and R(7, 3). The equation of the line passing through (1,...
- Two sides of a rhombus are along the lines, x – y + 1 = 0 and 7x – y – 5 = 0. If its diagonals intersect at (–1, –2), then which...
- Let k be an integer such that the triangle with vertices (k, –3k), (5, k) and (–k, 2) has area 28 sq. units. Then the orthocentre...
- A straight line through a fixed point (2, 3) intersects the coordinate axes at distinct points P and Q. If O is the origin and...
- Let the orthocenter and centroid of a triangle be A(–3, 5) and B(3, 3) respectively. If C is the circumcentre of this triangle,...
- The locus of the point of intersection of the lines, 2 x - y + 4 2 k = 0 and 2 kx + ky - 4 2 = 0 (k is any non-zero real...
- A point on the straight line, 3x + 5y = 15 which is equidistant from the coordinate axes will lie only in:
- Let O(0, 0) and A(0, 1) be two fixed points. Then the locus of a point P such that the perimeter of ΔAOP is 4, is:
- Suppose that the points (h, k), (1, 2) and (−3, 4) lie on the line L_1. If a line L_2 passing through the points (h, k) and (4,...
- Two vertical poles of heights, 20 m and 80 m stand apart on a horizontal plane. The height (in meters) of the point of...
- Slope of a line passing through P(2, 3) and intersecting the line, x + y = 7 at a distance of 4 units from P, is:
- The locus of the centres of the circles, which touch the circle, x^2 + y^2 = 1 externally, also touch the y-axis and lie in the...
- Lines are drawn parallel to the line 4x - 3y + 2 = 0, at a distance 3 5 from the origin. Then which one of the following points...
- In a triangle ABC, coordinates of A are (1, 2) and the equations of the medians through B and C are x + y = 5 and x = 4...
- The sides of a rhombus ABCD are parallel to the lines, x - y + 2 = 0 and 7x - y + 3 = 0. If the diagonals of the rhombus...
- If the two lines x + (a − 1)y = 1 and 2x + a^2y = 1 (a ∈ R − 0, 1 ) are perpendicular, then the distance of their point of...
- Let the equations of two sides of a triangle be 3x − 2y + 6 = 0 and 4x + 5y − 20 = 0. If the orthocentre of this triangle is at...
- Let S be the set of all triangles in the xy-plane, each having one vertex at the origin and the other two vertices lie on...
- Consider the set of all lines px + qy + r = 0 such that 3p + 2q + 4r = 0. Which one of the following statements is true?
- The equation y = sin x sin(x + 2) − sin^2(x + 1) represents a straight line lying in:
Other chapters
Alcohols, Phenols and EthersAldehydes, Ketones and Carboxylic AcidsAlternating CurrentAminesAnatomy of Flowering PlantsAncient Indian HistoryAnimal KingdomApplication of DerivativesArea Under CurveAromatic Compounds and Aryl HalidesAtomsBasic Mathematics and LogarithmBinomial TheoremBiodiversity and ConservationBiological ClassificationBiomoleculesBiotechnology and Its ApplicationsBiotechnology: Principles and ProcessesBody Fluids and CirculationBreathing and Exchange of GasesCell Cycle and Cell DivisionCell: The Unit of LifeChemical Bonding and Molecular StructureChemical Coordination and Integration