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A student when walks from his house, at an average speed of 6 kmph, reaches his school ten minutes before the school starts. When his average speed is 4 kmph, he reaches his school five minutes late. If he starts to school every day at 8.00 A.M, then find the minimum average speed to reach the school on time and time taken to reach the school the time the school gate closes

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The correct Answer is:
`(2)/(3)` or 40 minutes
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NCERT TAMIL-TWO DIMENSIONAL ANALYTICAL GEOMETRY-EXERCISE 6.5 (Choose the correct or more suitable answer)
  1. A student when walks from his house, at an average speed of 6 kmph, re...

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  2. The equation of the locus of the point whose distance from y-axis is h...

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  3. Which of the following equation is the locus of (at^(2),2at)

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  4. Which of the following point lie on the locus of 3x^(2)+3y^(2)-8x-12y+...

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  5. If the point (8,−5) lies on the locus (x^(2))/(16)=(y^(2))/(25)=k the...

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  6. Straight line joining the points (2, 3) and (−1, 4) passes through the...

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  7. The slope of the line which makes an angle 45^(@) with the line 3x-y=-...

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  8. Equation of the straight line that forms an isosceles triangle with co...

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  9. The coordinates of the four vertices of a quadrilateral are (−2,4), (−...

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  10. The intercepts of the perpendicular bisector of the line segment joini...

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  11. The equation of the line with slope 2 and the length of the perpendicu...

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  12. A line perpendicular to the line 5x − y = 0 forms a triangle with the ...

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  13. Equation of the straight line perpendicular to the linex−y+5 = 0, thro...

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  14. If the equation of the base opposite to the vertex (2, 3) of an equila...

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  15. The line (p + 2q)x + (p − 3q)y = p − q for different values of p and q...

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  16. The point on the line 2x − 3y = 5 is equidistance from (1,2) and (3, 4...

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  17. The image of the point (2, 3) in the line y = −x is

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  18. The length of bot from the origin to the line (x)/(3)-(y)/(4)=1 is

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  19. The y-intercept of the straight line passing through (1,3) and perpend...

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  20. If the two straight lines x + (2k − 7)y +3=0 and 3kx + 9y − 5=0 are pe...

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  21. If a vertex of a square is at the origin and its one side lies along t...

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