Straight Lines and Pair of Straight Lines
259 Questions
1991
JEE Advanced
Numerical
IIT-JEE 1991
Let the algebraic sum of the perpendicular distances from the points $\left( {2,0} \right),\,\left( {0,\,2} \right)$ $\left( {1,\,1} \right)$ to a variable straight line be zero; then the line passes through a fixed point whose cordinates are ...............
Correct Answer: $$\left( {1,\,1} \right)$$
1985
JEE Advanced
Numerical
IIT-JEE 1985
The orthocentre of the triangle formed by the lines $x + y = 1,\,2x + 3y = 6$ and $4x - y + 4 = 0$ lies in quadrant number .............
Correct Answer: First
1984
JEE Advanced
Numerical
IIT-JEE 1984
If $a,\,b$ and $c$ are in A.P., then the straight line $ax + by + c = 0$ will always pass through a fixed point whose coordinates are ...............
Correct Answer: $$\left( {1,\, - 2} \right)$$
1983
JEE Advanced
Numerical
IIT-JEE 1983
Given the points $A\left( {0,4} \right)$ and $B\left( {0, - 4} \right)$, the equation of the locus of the point $P\left( {x,y} \right)$ such that $\left| {AP - BP} \right| = 6$ is .............
Correct Answer: $${{{y^2}} \over 9} - {{{x^2}} \over 7} = 1$$
1982
JEE Advanced
Numerical
IIT-JEE 1982
$y = {10^x}$ is the reflection of ${\log _{10}}\,x$ in the line whose equation is ...........
Correct Answer: $$y = x$$
1982
JEE Advanced
Numerical
IIT-JEE 1982
The set of lines $ax + by + c = 0,$ where $3a + 2b + 4c = 0$ is concurrent at the point ..........
Correct Answer: $$\left( {{3 \over 4},{1 \over 2}} \right)$$
1981
JEE Advanced
Numerical
IIT-JEE 1981
The area enclosed within the curve $\left| x \right| + \left| y \right| = 1$ is .................
Correct Answer: 2 sq. units
1988
JEE Advanced
MCQ
IIT-JEE 1988
The lines $2x + 3y + 19 = 0$ and $9x + 6y - 17 = 0$ cut the coordinates axes in concyclic points.
A.
TRUE
B.
FALSE
1983
JEE Advanced
MCQ
IIT-JEE 1983
The straight line $5x + 4y = 0$ passes through the point of intersection of the straight lines $x + 2y - 10 = 0$ and $2x + y + 5 = 0.$
A.
TRUE
B.
FALSE