Q70.Statement 1: y = mx − m1 is always a tangent to the parabola, y2 = −4x for all non-zero values of m. Statement 2: Every tangent to the parabola, y2 = −4x will meet its axis at a point whose abscissa is non- negative. (1) Statement 1 is true, Statement 2 is true; Statement 2 is a correct explanation of Statement 1. (2) Statement 1 is false, Statement 2 is true. (3) Statement 1 is true, Statement 2 is false. (4) Statement 1 is true, Statement 2 is true, Statement 2 is not a correct explanation of Statement 1.
What This Question Tests
This question tests the standard equation of a tangent to a parabola and a geometric property related to where the tangent intersects the parabola's axis. Both statements are factually correct, but Statement 2 does not explain Statement 1.
Concepts Tested
Formulas Used
Equation of tangent to y^2 = -4ax is y = mx - a/m
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📋 Question Details
- Chapter
- Parabola
- Topic
- Tangents to parabola
- Year
- 2012
- Shift
- 07 May Online
- Q Number
- Q70
- Type
- Assertion Reasoning
- NCERT Ref
- Class 11 Mathematics Ch 11: Conic Sections
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