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If the product of the intercepts made by the straight line `x tan alpha + y sec alpha =1, (0 le alpha le (pi)/2)`, on the co-ordinates axes is equal to `sin alpha`, find `alpha`.

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The correct Answer is:
`pi//4`
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AAKASH SERIES-STRAIGHT LINES-EXERCISE 3.2 (VERY SHORT ANSWER QUESTIONS)
  1. Write the equations of the straight lines parallel to Y-axis and (i) a...

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  2. Write the equations of the straight lines parallel to Y-axis and (i) a...

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  3. Find the equation of the line passing through the point (1,2) and h...

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  4. Find the equation of the line passing through the point (-2,-1) and...

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  5. Find the equation of the straight line passing through the origin and ...

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  6. Find the equation of the containing the points (2,-3) and (0,-3)

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  7. Find the equation of the straight line passing through the points (at(...

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  8. Find the equation of the containing the points (1,2) (1,-2)

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  9. Find the equation of the straigt line which an angle tan^(-1)(2/3) wit...

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  10. Find the equation of the straight line which makes and angle 60^(@) wi...

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  11. Find the angle made by the straight line y=-sqrt(3)x+3 with positive d...

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  12. Find the angle which the straight line y=sqrt(3)x-4 makes with the Y-a...

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  13. Find the sum of the square of the intercepts of the line 4x - 3y = 12 ...

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  14. If the product of the intercepts made by the straight line x tan alpha...

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  15. Find the equation of the straight line passing through A(-1,3) and (i)...

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  16. Find the equation of the straight ine through A(1,3) and (i) parallel ...

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  17. Find the equation of the straight line parallel to the line 2x+3y+7=0 ...

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  18. The equation of the line perpendicular to the line 2x+3y-5=0 and passi...

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  19. If the area of the triangle formed by the straight lines x=0, y=0 and ...

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  20. Find the area of the triangle formed by the line joining the points (1...

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