Q80.The coefficients a, b, c in the quadratic equation ax2 + bx + c = 0 are from the set {1, 2, 3, 4, 5, 6}. If the probability of this equation having one real root bigger than the other is p, then 216 p equals : (1) 57 (2) 76 (3) 38 (4) 19
What This Question Tests
The question tests the ability to find the image of a point in a given line in 3D space, which involves using the properties of the foot of the perpendicular and the midpoint formula.
Concepts Tested
Formulas Used
Parametric equation of a line
Direction ratios of perpendicular lines have dot product 0
Midpoint formula
๐ NCERT Sections This Tests
1.18 โ A Point Charge Of 2.0 Mc Is At The Centre Of A Cubic Gaussian
Physics Class 11 ยท Chapter 1
1.18 A point charge of 2.0 mC is at the centre of a cubic Gaussian surface 9.0 cm on edge. What is the net electric flux through the surface?
5.12 โ Write All The Geometrical Isomers Of [Pt(Nh3)(Br)(Cl)(Py)] And How Many Of
Chemistry Class 11 ยท Chapter 5
5.12 Write all the geometrical isomers of [Pt(NH3)(Br)(Cl)(py)] and how many of these will exhibit optical isomers?
2.1 โ Two Charges 5 ร 10โ8 C And โ3 ร 10โ8 C Are Located 16 Cm Apart. At
Physics Class 11 ยท Chapter 2
2.1 Two charges 5 ร 10โ8 C and โ3 ร 10โ8 C are located 16 cm apart. At what point(s) on the line joining the two charges is the electric potential zero? Take the potential at infinity to be zero.
๐ Question Details
- Chapter
- 3D Geometry
- Topic
- Image of a point in a line
- Year
- 2024
- Shift
- 05 Apr Shift 2
- Q Number
- Q80
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 11: Three Dimensional Geometry
More from this Chapter
Q88.The projections of a vector on the three coordinate axis are 6, โ3, 2 respectively. The direction cosines of the vector are (1) 6, โ3, 2 (2) 65 , โ35 , 25 (3) 7 6 , โ37 , 27 (4) โ67 , โ37 , 27
Q87.Statement-1: The point A(3, 1, 6) is the mirror image of the point B(1, 3, 4) in the plane x โy + z = 5. Statement-2: The plane x โy + z = 5 bisects the line segment joining A(3, 1, 6) and B(1, 3, 4). (1) Statement-1 is true, Statement-2 is true; (2) Statement-1 is true, Statement-2 is false Statement-2 is not the correct explanation for Statement-1 (3) Statement-1 is false, Statement-2 is true (4) Statement-1 is true, Statement-2 is true; Statement-2 is the correct explanation for Statement-1 JEE Main 2010 JEE Main Previous Year Paper
Q88.A line AB in three-dimensional space makes angles 45โ and 120โ with the positive x-axis and the positive y- axis respectively. If AB makes an acute angle ฮธ with the positive z-axis, then ฮธ equals (1) 45โ (2) 60โ (3) 75โ (4) 30โ
Q87.If the angle between the line x = yโ12 = 14 (โ5 ) (1) 3 (2) 2 2 5 (3) 5 (4) 2 3 3