Q70.For the two circles x2 + y2 = 16 and x2 + y2 −2y = 0, there is/are (1) one pair of common tangents (2) two pair of common tangents (3) three pair of common tangents (4) no common tangent
What This Question Tests
This question tests the condition for concurrency of three lines using determinants and then identifying the locus of the point (a, b) that satisfies this condition.
Concepts Tested
Formulas Used
Three lines a1x+b1y+c1=0, a2x+b2y+c2=0, a3x+b3y+c3=0 are concurrent if determinant of coefficients is zero.
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📋 Question Details
- Chapter
- Straight Lines
- Topic
- Concurrency of lines
- Year
- 2014
- Shift
- 12 Apr Online
- Q Number
- Q70
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 10: Straight Lines
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