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The line passing the points  and the line joining the points  intersect at

a)

b)

c)

d)

None of these


Question ID - 55649 | Toppr Answer

The line passing the points  and the line joining the points  intersect at

a)

b)

c)

d)

None of these

1 Answer - 5876 Votes

3537

Answer Key : (d) -

(d)

The equations of the lines joining

 and  are respectively

…(i)

and,    …(ii)

For the point of intersection, the equations (i) and (ii) should give the same value of

Hence, equating the coeff.of vectors  and  in the two expressions for , we get

 and

Solving first two equations, we get

These values of m and n also satisfy the third equation

Hence, the lines intersect

Putting the value of m in (i), we obtain that the position vector of the point of intersection as



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