Tag: business maths
Questions Related to business maths
The equation $ \displaystyle 3x^{2}-8xy-3y^{2}=0 $ and $ \displaystyle x-2y=3 $ represents the sides of a triangle which is
The product of the perpendiculars from origin to the pair of lines $ a x ^ { 2 } + 2 h x y + b y ^ { 2 } + 2 g x + 2 f y + c = 0 $ is
If pair of lines $\displaystyle y^{2}+2hxy-9x^{2}=0$ and another pair of lines given by $\displaystyle ay^{2}+10xy+x^{2}=0$ have exactly one line common and other lines represented by them are perpendicular then
Two mutually perpendicular straight lines are drawn from the origin to form an isosceles triangle with the straight line $\displaystyle x\cos \alpha +y\sin \alpha -p=0$. Then the area of this triangle is
Two of the lines represented by $x^{3}-6x^{2}y+3xy^{2}+dy^{3}=0$ are perpendicular for
The pair of lines represented by $3ax^{2}+5xy+(a^{2}-2)y^{2}=0$ are perpendicular to each other for
Let $\Delta$ PQR be a right angled isoceles triangle which is right angled at $P(2,1)$. lf the equation of the line OR is $2x+y=3$, then the equation representing the pair of lines PQ and PR is
The triangle ABC has medians AD, BE, CF. AD lies along the line $y = x + 3$ , BE lies along the line $y = 2x + 4$, AB has length $60$ and angle $C = 90$, then the area of ABC is
The straight line joining the origin to the other two points of intersection of the curve whose equations are $\displaystyle ax^{2}+2hxy+2gx+by^{2}=0: : and: : a'x^{2}+2h'xy+b'y^{2}+2g'x=0$ will be at right angle if
Which of the following pairs of straight lines intersect at right angles ?