Mathematics questions
18011 published questions with worked solutions.
- Equation of a line passing through the line of interception of lines 2x-3y+4=0, 3x+4y-5=0 and perpendicular to 6x-7y+3=0, is
- If a b c and if ax+by+c=0, bx+cy+a=0, cx+ay+b=0 are concurrent, then 2^ a^2b^ -1 c^ -1 2^ b^2c^ -1 a^ -1 2^ c^2a^ -1 b^ -1 is...
- A point moves in such a way that the square of its distance from the point (3,-2) is equal to numerically its distance from the...
- If t_1 and t_2 are roots of the equation t^2+ t+1=0, where is an arbitrary constant. Then, the line joining the points...
- The combined equation of the pair of lines through the point (1,0) and parallel to the lines represented by 2x^2-xy-y^2=0, is
- Separate equations of lines for a pair of lines whose equation is x^2+xy-12y^2=0, are
- The equation of the line equidistant from the lines 2x+3y+5=0 and 4x+6y=11 is
- Two lines are drawn through (3,4) each of which makes angle 45^ which line x-y=2, then area of the triangle formed by these lines...
- The determinant vmatrix x&y&1 _1&y_1&1 _2&y_2&1 vmatrix =0 represents
- The value of for which the lines 3x+4y=5, 5x+4y=4 and x+4y=6 meet at a point is
- The parallelism condition for two straight lines one of which is specified by the equation ax+by+c=0 and the other being...
- Triangle ABC with AB=13, BC=5 and AC=12 slides on the coordinates axis with A and B on the positive x-axis and positive y-axis...
- Number of value of b for which in an acute triangle ABC, if the coordinates of orthocentre 'H' are (4,b), centroid 'G' are...
- If the area enclosed by the graph of x^2y^2-9x^2-25y^2+225=0 is A then value of A 10 is
- The sides of a triangle ABC lie on the lines 3x+4y=0, 4x+3y=0 and x=3. Let (h,k) be the centre of the circle inscribed in ABC....
- The line 3x+2y=24 meets the y-axis at A and the x-axis at B. The perpendicular bisector of AB meets the line through (0,-1)...
- The points (x,y) lies on the line 2x+3y=6. Smallest value of the quantity x^2+y^2 is m then the value of 13 m is
- For all real values of a and b, lines (2a+b)x+(a+3b)y+(b-3a)=0 and mx+2y+6=0 are concurrent, then |m| is equal to
- Consider a ABC whose sides AB, BC and CA are represents by the straight lines 2x+y=0, x+py=q and x-y=3, respectively. The point P...
- The point A divided the join of P(-5,1), Q(3,5) in the ratio k:1, then the integral value of k for which the area of ABC where B...