Straight Lines questions
982 published questions with worked solutions.
- Let PQR be a right angled isosceles triangle, right angled at Q(2, 1). If the equation of the line PR is 2x + y = 3, then the...
- The acute angle between the line joining the points (2, 1, -3), (-3, 1, 7) and a line parallel to x-1 3 = y 4 = z+3 5 through the...
- If the angle between the lines given by x^2-3xy+ y^2+3x-5y+2=0; 0 is ^ -1 ( 1 3 ), then the value of is
- A vector a has components 1 and 2p with respect to a rectangular Cartesian system. This system is rotated through a certain angle...
- A line is drawn through the point (1, 2) to meet the co-ordinate axes at P and Q such that it forms a , where O is the origin. If...
- The centroid of the triangle formed by the lines x + 3y = 10 and 6x^2 + xy - y^2 = 0 is
- p is the length of perpendicular from the origin to the line whose intercepts on the axes are a and b respectively, then 1 a^2 +...
- The perpendiculars are drawn to lines L_1 and L_2 from the origin making an angle 4 and 3 4 respectively with positive direction...
- The line x + y = 3 intersects the pair of straight lines x^2-3xy+y^2=0 at points A and B. Then the co-ordinates of the mid-point...
- The equation of the line passing through the point of intersection of the lines x + 2y + 6 = 0 and 2x - y = 2 and making an...
- The co-ordinates of the point where the line joining the points (3,5,-7) and (-2, 1, 8) is intersected by the YOZ plane are
- If a triangle ABC has vertices A(1, -6), B(2, -3) and C(3, -2), then the coordinates of its orthocenter are----
- The triangle formed by the lines 2x^2-3xy-2y^2=0 and 3x-y=7 is…
- If is the acute angle between the lines represented by the equation x^2-3xy+2y^2=0 then 3 +2 3 -2 =
- If two sides of a square are 4x+3y-20=0 and 4x+3y+15=0, then the area of the square is
- The value of k, if the slope of one of the lines given by 4x^ 2 +kxy+y^ 2 =0 is four times that of the other, is given by
- The line (2 + k)x + (1 + k)y = 5 + 7k passes through the fixed point for different values of k. If 'd' is the distance of a fixed...
- The combined equation of the pair of lines passing through the origin and making an angle 4 with the line 3x+y-6=0 is...
- If is the acute angle between the lines 2x^2+7xy+3y^2=0, then the value of 2 -3 4 +5 =
- If 4ab=3h^2, then the ratio of the slopes of the lines represented by ax^2+2hxy+by^2=0 is…
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