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The triangle PQR is inscribed in the circle ${{x}^{2}}+{{y}^{2}}=25$ . If Q and R have co-ordinates (3,4) and (– 4, 3) respectively, then $\angle QPR$ is equal to
The point $({{t}^{2}}+2t+5,\,2{{t}^{2}}+t-2)$ lies on the line $x+y=2$ for
The line joining the points (–1, 3) and (4, –2) will pass through the point (p, q) if
The line parallel to the x-axis and passing through the intersection of the lines $ax+2by+3b=0$ and $bx-2ay-3a=0$ , where $(a,\,b)\ne (0,\,0)$ is
Two points (a, 0) and (0, b) are joined by a straight line, Another point on this line is
The equation to the line bisecting the join of (3, –4) and (5, 2) and having its intercepts on the x-axis and the y-axis in the ratio 2 : 1 is
If the co-ordinates of the points A and B be (1, 0) and $(2,\sqrt{3})$ , then the angle made by the line AB with x-axis is
The line $lx+my+n=0$ will be parallel to x-axis, if
A line passing through origin and is perpendicular to two given lines $2x+y+6=0$ and $4x+2y-9=0$ , then the ratio in which the origin divides this line is
The acute angle between the lines $y=3$ and $y=\sqrt{3}x+9$ is

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