Straight Lines questions
982 published questions with worked solutions.
- The line parallel to x-axis and passing through the point of intersection of lines ax + 2by + 3b = 0 and bx − 2ay − 3a = 0, where...
- Consider the straight lines L_1 : x - y = 1 L_2 : x + y = 1 L_3 : 2x + 2y = 5 L_4 : 2x - 2y = 7 The correct statement is
- If the line 2x + y = k passes through the point which divides the line segment joining the points (1, 1) and (2, 4) in the ratio...
- A line is drawn through the point (1, 2) to meet the coordinate axes at P and Q such that it forms a triangle OPQ, where O is the...
- A light ray emerging from the point source placed at P(1, 3) is reflected at a point Q in the axis of x. If the reflected ray...
- If the three lines x − 3y = p, ax + 2y = q and ax + y = r form a right-angled triangle then :
- If the x-intercept of some line L is double as that of the line, 3x + 4y = 12 and the y-intercept of L is half as that of the...
- Let _1 be the angle between two lines 2x + 3y + c_1 = 0 and -x + 5y + c_2 = 0 and _2 be the angle between two lines 2x + 3y + c_1...
- If the extremities of the base of an isosceles triangle are the points (2a, 0) and (0, a) and the equation of one of the sides is...
- Let A(−3, 2) and B(−2, 1) be the vertices of a triangle ABC. If the centroid of this triangle lies on the line 3x + 4y + 2 = 0,...
- Let ABC be a triangle with vertices at points A (2, 3, 5), B (−1, 3, 2) and C(λ, 5, μ) in three dimensional space. If the median...
- Given three points P, Q, R with P(5, 3) and R lies on the x−axis. If the equation of RQ is x - 2y = 2 and PQ is parallel to the...
- A stair-case of length l rests against a vertical wall and a floor of a room. Let P be a point on the stair-case, nearer to its...
- If a line intercepted between the coordinate axes is trisected at a point A(4, 3), which is nearer to x-axis, then its equation...
- If the three distinct lines x + 2ay + a = 0, x + 3by + b = 0 and x + 4ay + a = 0 are concurrent, then the point (a, b) lies on a :
- If a line L is perpendicular to the line 5x - y = 1, and the area of the triangle formed by the line L and the coordinate axes is...
- The circumcentre of a triangle lies at the origin and its centroid is the midpoint of the line segment joining the points (a^2 +...
- If vmatrix x_1 & y_1 & 1 x_2 & y_2 & 1 x_3 & y_3 & 1 vmatrix = vmatrix 1 & 1 & 1 b_1 & b_2 & b_3 a_1 & a_2 & a_3 vmatrix then the...
- The system of equations 2x+3y=8, 7x-5y+3=0, 4x-6y+ =0 is solvable if is
- Let 0 2 and x=X +Y , y=X -Y such that x^2+4xy+y^2=aX^2+bY^2, where a,b are constants. Then
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