Q70.The equation of a tangent to the parabola, x2 = 8y, which makes an angle θ with the positive direction of x− axis, is (1) y = xtanθ + 2cotθ (2) y = xtanθ −2cotθ (3) x = ycotθ + 2tanθ (4) x = ycotθ −2tanθ
What This Question Tests
This question directly tests the recall and application of the standard formula for the equation of a tangent to a parabola of the form x² = 4ay given its slope.
Concepts Tested
Formulas Used
x = my + a/m (tangent to x²=4ay)
📚 NCERT Sections This Tests
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Physics Class 12 · Chapter 9
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📋 Question Details
- Chapter
- Parabola
- Topic
- Equation of tangent to parabola
- Year
- 2019
- Shift
- 12 Jan Shift 2
- Q Number
- Q70
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 11: Conic Sections (Parabola)
More from this Chapter
Q95.The equation of a tangent to the parabola y2 = 8x is y = x + 2 . The point on this line from which the other tangent to the parabola is perpendicular to the given tangent is (1) (−1, 1) (2) (0, 2) (3) (2, 4) (4) (−2, 0) y2 x2
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Q69.If two tangents drawn from a point P to the parabola y2 = 4x are at right angles, then the locus of P is (1) 2x + 1 = 0 (2) x = −1 (3) 2x −1 = 0 (4) x = 1 =
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.