Q58.Let the tangents drawn from the origin to the circle, x2 + y2 −8x −4y + 16 = 0 touch it at the points A and B . Then (AB)2 is equal to (1) 52 (2) 56 5 5 (3) 64 (4) 32 5 5 y2
What This Question Tests
This question requires finding the coordinates of a point on one line, deriving the equation of a perpendicular line to another, finding the point of intersection, and then determining the locus of the midpoint.
Concepts Tested
Formulas Used
Slope of perpendicular lines m1m2 = -1
Midpoint formula: ((x1+x2)/2, (y1+y2)/2)
Equation of line y - y1 = m(x - x1)
📚 NCERT Sections This Tests
2.1 — Two Charges 5 × 10–8 C And –3 × 10–8 C Are Located 16 Cm Apart. At
Physics Class 11 · Chapter 2
2.1 Two charges 5 × 10–8 C and –3 × 10–8 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.
5.16 — Draw Figure To Show The Splitting Of D Orbitals In An Octahedral Crystal Field.
Chemistry Class 11 · Chapter 5
5.16 Draw figure to show the splitting of d orbitals in an octahedral crystal field.
9.8 — A Beam Of Light Converges At A Point P. Now A Lens Is Placed In The
Physics Class 12 · Chapter 9
9.8 A beam of light converges at a point P. Now a lens is placed in the path of the convergent beam 12cm from P. At what point does the beam converge if the lens is (a) a convex lens of focal length 20cm, and (b) a concave lens of focal length 16cm?
📋 Question Details
- Chapter
- Straight Lines
- Topic
- Locus of a point
- Year
- 2020
- Shift
- 07 Jan Shift 2
- Q Number
- Q58
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 10: Straight Lines
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