Find the value of ′?′ in the series: 12,17,15,?,18,23,21,....
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If the represented by the equation 3y2−x2+23x−3=0 are rotated about the point (3,0) through an angle of 150 , on in clockwise direction and the other in anticlockwise direction, so that they become perpendicular, then the equation of the pair of lines in the new position is (1) y2−x2+23x+3=0
x+y=7 and ax2+2hxy+ay2=0,(a=0) , are three real distinct lines forming a triangle. Then the triangle is (a) isosceles (b) scalene equilateral (d) right angled
Find the equation of the line which satisfy the given conditions : Perpendicular distance from the origin is 5 units and the angle made by the perpendicular with the positive xaxis is 30∘.
A line is such that its segment between the lines 5xy+4=0and 3x+4y4=0is bisected at the point (1, 5). Obtain its equation.
Find a point on the x–axis, which is equidistant from the points (7, 6) and (3, 4).
The angle between the pair of lines whose equation is 4x2+10xy+my2+5x+10y=0 is (a) tan−1(83) (b) tan−1(43)
(d) none of these
If one of the lines of the pair ax2+2hxy+by2=0
bisects the angle between the positive direction of the axes. Then find the relation for a,b,andh˙
If one of the lines of my2+(1−m2)xy−mx2=0 is a bisector of the angle between the lines xy=0 , then m is (a)1 (b) 2 (c) −21 (d) −1