Mathematics Tes...

The line 2x+3y=6, 2x+3y=8 cut the X-axis at A, B respectively. A line L=0 drawn through the point (2,2) meets the X-axis at C in such a way that abscissa of A, B,C are in arithmetic progression. Then, the equation of the line L is

Let aa and bb be non-zero real numbers. Then, the equation (ax²+by²+c)(x²−5xy+6y²)=0 represents

Find the equation of a straight line parallel to 2x+3y+11=0 and which is such that the sum of its intercepts on the axes is 15.

The perpendicular bisector of the line segment joining P(1,4) and Q(k,3) has y-intercept −4, then a possible value of k is

The acute angle between the lines lx+my=l+m,l(x−y)+m(x+y)=2m is

The line 4y−3x+48=0 cuts the curve y²=64x in A and B. If AB subtends an angle θ at the origin, then tanθ=

The angle made by the line whose intercepts are 3 and 3√3 on X and Y axis respectively with X-axis is .....

lf the pair of lines 2x²+3xy+y²=0 makes angles θ₁ and θ₂ with x-axis then tan(θ₁−θ₂)=

If the two pairs of lines 3x² −5xy +2y²=0 and 6x²−xy+ky²=0 have one line in common, then k²+7k−10 =