1
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
2
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
$$\left( {3,9} \right)$$
3
IIT-JEE 2003 Screening
MCQ (Single Correct Answer)
+2
-0.5
The centre of circle inscibed in square formed by the lines $${x^2} - 8x + 12 = 0\,\,and\,{y^2} - 14y + 45 = 0$$, is
A
(4, 7)
B
(7, 4)
C
(9, 4)
D
(4, 9)
4
IIT-JEE 2003 Screening
MCQ (Single Correct Answer)
+2
-0.5
The area of the quadrilateral formed by the tangents at the end points of latus rectum to the ellipse $${{{x^2}} \over 9} + {{{y^2}} \over 5} = 1,$$ is
A
$$27/4$$ sq. units
B
$$9$$ sq. units
C
$$27/2$$ sq. units
D
$$27$$ sq. units
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