1
JEE Advanced 2013 Paper 1 Offline
+4
-1
For $$a > b > c > 0,$$ the distance between $$(1, 1)$$ and the point of intersection of the lines $$ax + by + c = 0$$ and $$bx + ay + c = 0$$ is less than $$\left( {2\sqrt 2 } \right)$$. Then
A
$$a + b - c > 0$$
B
$$a - b + c < 0$$
C
$$a - b + c = > 0$$
D
$$a + b - c < 0$$
2
IIT-JEE 2011 Paper 1 Offline
+4
-1
A straight line $$L$$ through the point $$(3, -2)$$ is inclined at an angle $${60^ \circ }$$ to the line $$\sqrt {3x} + y = 1.$$ If $$L$$ also intersects the x-axis, then the equation of $$L$$ is
A
$$y + \sqrt {3x} + 2 - 3\sqrt 3 = 0$$
B
$$y - \sqrt {3x} + 2 + 3\sqrt 3 = 0$$
C
$$\sqrt {3y} - x + 3 + 2\sqrt 3 = 0$$
D
$$\sqrt {3y} + x - 3 + 2\sqrt 3 = 0$$
3
IIT-JEE 2008 Paper 2 Offline
+3
-1

Consider three points $$P = ( - \sin (\beta - \alpha ), - cos\beta ),Q = (cos(\beta - \alpha ),\sin \beta )$$ and $$R = (\cos (\beta - \alpha + \theta ),\sin (\beta - \theta ))$$ where $$0 < \alpha ,\beta ,\theta < {\pi \over 4}$$. Then :

A
P lies on the line segment RQ
B
Q lies on the line segment PR
C
R lies on the line segment QP
D
P, Q, R are non-collinear
4
IIT-JEE 2008 Paper 2 Offline
+4
-1

Consider the lines given by:

$${L_1}:x + 3y - 5 = 0$$

$${L_2}:3x - ky - 1 = 0$$

$${L_3}:5x + 2y - 12 = 0$$

Match the Statement/Expressions in Column I with the Statements/Expressions in Column II.

Column I Column II
(A) L$$_1$$, L$$_2$$, L$$_3$$ are concurrent, if (P) $$K = - 9$$
(B) One of L$$_1$$, L$$_2$$, L$$_3$$ is parallel to atleast one of the other two, if (Q) $$K = - {6 \over 5}$$
(C) L$$_1$$, L$$_2$$, L$$_3$$ form a triangle, if (R) $$K = {5 \over 6}$$
(D) L$$_1$$, L$$_2$$, L$$_3$$ do not form a triangle, if (S) $$K = 5$$

A
A - iv; B - ii; C - iii; D - i, ii
B
A - iv; B - i, ii; C - iii; D - i, ii, iv
C
A - iv; B - i; C - iii; D - i, ii
D
A - ii; B - i, iii; C - iii; D - i, ii, iv
EXAM MAP
Medical
NEET