Three Dimensional Geometry questions
879 published questions with worked solutions.
- If the lines x = ay - 1 = z - 2 and x = 3y - 2 = bz - 2 (ab 0) are coplanar, then
- If the line x - 3 2 = y + 5 -1 = z + 2 2 lies in the plane x + 3y - z + = 0, then values of and respectively are .....
- The lines r = ( i + j - k ) + (3 i - j ) and r = (4 i - k ) + (2 i + 3 k ) are
- The length of the foot of the perpendicular from the point (1, 3 2 ,2 ) to the plane 2x - 2y + 4z + 17 = 0 is
- A tetrahedron has vertices O(0, 0, 0) A(1, 2, 1) B(2, 1, 3) C (-1, 1, 2). Then the angle between the faces OAB and ABC will be
- If the lines 1-x 2 = 7y+4 2 = 2z-5 2 and 7-7x 3 = y-1 7 = 6-z 5 are at right angle, then the value of is
- In 3-dimentional space, the equation x^2-8x+12=0 represents _____
- Let M and N be foots of the perpendiculars drawn from the point P(a, a, a) on the lines x – y = 0, z = 1 and x + y = 0, z = -1...
- The lines x-0 1 = y-2 2 = z+3 and x-2 2 = y-6 3 = z-3 are coplanar and p is the plane containing these lines, then which of...
- The lines 6x-6 18 = y+1 3 = z-1 5 and 3x+6 12 = y-1 3 = z+1 2 are…
- The line x-1 2 = y+2 -1 = z 1 intersects the XY plane and the YZ plane at points A and B respectively. The equation of line...
- The distance of the point A (3, -4, 5) from the plane 2x + 5y - 6z = 16 measured along the line x 2 = y 1 = z -2 is
- The direction cosines of a normal to the plane passing through (4, 2, 3), (-1, 4, 2) and (3, 2, 1) are…
- The equation of the plane passing through the point (1, 1, 1) and through the line of intersection of x + 2y - z + 1 = 0 and 3x -...
- If the foot of the perpendicular drawn from the origin to a plane is P(-1, -1, 2), then equation of the plane is
- A triangle ABC is formed by A (1, -1, 0), B (3, 5, 3), C (-11, -5, 6). The equation of internal angle bisector of angle A is
- The mirror image of the point P(-1, 2, -4) in the plane x – y – 2z + 1 = 0 is
- If the plane x2+ y3+ z6=1 cuts the co-ordinate axes at points A, B, C respectively, then area of the triangle ABC is
- The co-ordinates of the point in which line joining (1,1,1) and (2,2,2) intersects the plane x+y+z=9 are
- The equation of plane passing through (1,0,0) and (0,1,0) and making an angle 45^0 with the plane x+y-3=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