Q69.The equation of one of the straight lines which passes through the point (1, 3) and makes an angles with the straight line, y + 1 = 3√2x is tan−1(√2) + + = 0 (1) 4√2x + 5y −(15 4√2) = 0 (2) 5√2x + 4y −(15 4√2) + = 0 (3) 4√2x + 5y −4√2 = 0 (4) 4√2x −5y −(5 4√2)
What This Question Tests
This question tests the ability to find the equation of a straight line given a point it passes through and the angle it makes with another given line, utilizing formulas for angles between lines and point-slope form.
Concepts Tested
Formulas Used
m = tanθ
tan(θ ± α) = (tanθ ± tanα) / (1 ∓ tanθ tanα)
y - y₁ = m(x - x₁)
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📋 Question Details
- Chapter
- Straight Lines
- Topic
- Angle Between Two Lines
- Year
- 2021
- Shift
- 18 Mar Shift 1
- Q Number
- Q69
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 10: Straight Lines
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