1
IIT-JEE 2005 Mains
MCQ (Single Correct Answer)
+3
-0

The area of the triangle formed by the intersection of a line parallel to X-axis and passing through $$(h, k)$$ with the lines $$y=x$$ and $$x+y=2$$ is $$4 h^{2}$$. Find the locus of point $$P$$.

A
$$3x=\pm~(y-1)$$
B
$$x=\pm~3(y-1)$$
C
$$2x=\pm~(y-1)$$
D
$$x=\pm~5(y-1)$$
2
IIT-JEE 2004 Screening
MCQ (Single Correct Answer)
+3
-0.75
Area of the triangle formed by the line $$x + y = 3$$ and angle bisectors of the pair of straight line $${x^2} - {y^2} + 2y = 1$$ is
A
2 sq. units
B
4 sq. units
C
6 sq. units
D
8 sq. units
3
IIT-JEE 2003 Screening
MCQ (Single Correct Answer)
+3
-0.75
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
$$\left( {3,9} \right)$$
4
IIT-JEE 2003 Screening
MCQ (Single Correct Answer)
+3
-0.75
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

JEE Advanced Subjects

Browse all chapters by subject