Orthocentre of triangle with vertices $$\left( {0,0} \right),\left( {3,4} \right)$$ and $$\left( {4,0} \right)$$ is
A
$$\,\,\left( {3,{5 \over 4}} \right)$$
B
$$\left( {3,12} \right)$$
C
$$\left( {3,{3 \over 4}} \right)$$
D
$$\left( {3,9} \right)$$
2
IIT-JEE 2003 Screening
MCQ (Single Correct Answer)
The number of integral points (integral point means both the coordinates should be integer) exactly in the interior of the triangle with vertices $$\left( {0,0} \right),\left( {0,21} \right)$$ and $$\left( {21,0} \right)$$, is
A
133
B
190
C
233
D
105
3
IIT-JEE 2002
MCQ (Single Correct Answer)
The pair of lines represented by
$$3a{x^2} + 5xy + \left( {{a^2} - 2} \right){y^2} = 0$$ are perpendicular to each other for
A
two values of $$a$$
B
$$\forall \,a$$
C
for one values of $$a$$
D
for no values of $$a$$
4
IIT-JEE 2002
MCQ (Single Correct Answer)
If the pair of lines $$a{x^2} + 2hxy + b{y^2} + 2gx + 2fy + c = 0$$ intersect on the $$y$$ axis then
A
$$2fgh = b{g^2} + c{h^2}$$
B
$$b{g^2} \ne c{h^2}$$
C
$$\,abc = 2fgh$$
D
none of these
Questions Asked from Straight Lines and Pair of Straight Lines
On those following papers in MCQ (Single Correct Answer)
Number in Brackets after Paper Indicates No. of Questions
