1
IIT-JEE 1998
MCQ (More than One Correct Answer)
+2
-0.5
An n-digit number is a positive number with exactly digits. Nine hundred distinct n-digit numbers are to be formed using only the three digits 2, 5 and 7. The smallest value of n for which this is possible is
A
6
B
7
C
8
D
9
2
IIT-JEE 1998
Subjective
+8
-0
Using co-ordinate geometry, prove that the three altitudes of any triangle are concurrent.
3
IIT-JEE 1998
MCQ (More than One Correct Answer)
+2
-0.5
If the vertices $$P, Q, R$$ of a triangle $$PQR$$ are rational points, which of the following points of the triangle $$PQR$$ is (are) always rational point(s)?
A
centroid ( A rational point is a point both of whose co-ordinates are rational numbers.)
B
incentre. ( A rational point is a point both of whose co-ordinates are rational numbers.)
C
circumcentre ( A rational point is a point both of whose co-ordinates are rational numbers.)
D
orthocentre ( A rational point is a point both of whose co-ordinates are rational numbers.)
4
IIT-JEE 1998
MCQ (Single Correct Answer)
+2
-0.5
If $$\left( {P\left( {1,2} \right),\,Q\left( {4,6} \right),\,R\left( {5,7} \right)} \right)$$ and $$S\left( {a,b} \right)$$ are the vertices of a parrallelogram $$PQRS,$$ then
A
$$a = 2,\,b = 4$$
B
$$a = 3,\,b = 4$$
C
$$a = 2,\,b = 3$$
D
$$a = 3,\,b = 5$$
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