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QJEEM23Ma0806: JEE Main 2023 Mathematics - Class 11 JEEM23Ma0806 Solution: If the point ( α , 7 3 3 ) lies on the curve traced by the…

If the point (α,733) lies on the curve traced by the mid-points of the line segments of the lines xcos⁡θ+ysin⁡θ=7,θ∈(0,π2) between the co-ordinates axes, then α is equal to :

Multiple Choice Options

  • A −7
  • B 7
  • C −73
  • D 73

Step-by-Step Verified Solution

JEE Main 2023 (Online) 12th April Morning Shift Mathematics - Straight Lines and Pair of Straight Lines Question 38 English Explanation

xcos⁡θ+ysin⁡θ=7x− intercept =7cos⁡θy− intercept =7sin⁡θA:(7cos⁡θ,0)B:(0,7sin⁡θ)

Locus of mid point M : (h, k)

h=72cos⁡θ,k=72sin⁡θ72sin⁡θ=733⇒sin⁡θ=32⇒θ=π3α=72cos⁡θ=7

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