Straight Lines questions
982 published questions with worked solutions.
- The locus of the orthocentre of the triangle formed by the lines (1 + p)x - py + p(1 + p) = 0, (1 + q)x - qy + q(1 + q) = 0, and...
- The point of lines represented by 3ax^2 + 5xy + (a^2 - 2)y^2 = 0 and perpendicular to each other for
- Locus of mid point of the portion between the axes of x + y = p where p is constant is
- The centres of a set of circles, each of radius 3 , lie on the circle x^2 + y^2 = 25. The locus of any point in the set is
- If x_1, x_2, x_3 and y_1, y_2, y_3 are both in G.P. with the same common ratio, then the points (x_1, y_1), (x_2, y_2) and (x_3,...
- A square of side a lies above the x-axis and has one vertex at the origin. The side passing through the origin makes an angle (0...
- If the pair of straight lines x^2 - 2pxy - y^2 = 0 and x^2 - 2qxy - y^2 = 0 be such that each pair bisects the angle between the...
- Locus of a centriod of the triangle whose vertices are (a t, a t), (b t, -b t) and (1, 0), where t is a parameter, is
- If the equation of the locus of a point equidistant from the point (a_1, b_1) and (a_2, b_2) is (a_1 - b_2)x + (a_1 - b_2)y + c =...
- The two lines x = ay + b, z = cy + d and x = a'y + b', z = c'y + d' will be perpendicular, if and only if
- Let A(2, -3) and B(-2, 1) be vertices of a triangle ABC. If the centroid of this triangle moves on the line 2x + 3y = 1, then the...
- The equation of the straight line passing through the point (4, 3) and making intercepts on the co-ordinate axes whose sum is −1...
- If one of the lines given by 6x^2 - xy + 4cy^2 = 0 is 3x + 4y = 0, then c equals
- If a circle passes through the point (a, b) and cuts the circle x^2 + y^2 = 4 orthogonally, then the locus of its centre is
- If the sum of the slopes of the lines given by x^2 - 2cxy - 7y^2 = 0 is four times their product, then c has the value
- If non-zero numbers a, b, c are in H.P., then the straight line x a + y b + 1 c = 0 always passes through a fixed point. That...
- If a circle passes through the point (a, b) and cuts the circle x^2 + y^2 = p^2 orthogonally, then the equation of the locus of...
- If the pair of lines ax^2 + 2(a + b)xy + by^2 = 0 lie along diameters of a circle and divide the circle into four sectors such...
- Let P be the point (1, 0) and Q a point on the locus y^2 = 8x. The locus of mid point of PQ is
- The line parallel to the x-axis and passing through the intersection of the lines ax + 2by + 3b = 0 and bx - 2ay - 3a = 0, where...
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