Mathematics questions
18011 published questions with worked solutions.
- The point moves such that the area of the triangle formed by it with the points (1,5) and (3,-7) is 21 sq unit. The locus of the...
- The angle between the lines x^2+4xy+y^2=0 is
- The equation 8x^2+8xy+2y^2+26x+13y+15=0 represents a pair of straight lines. The distance between them is
- The centroid of the triangle whose three sides are given by the combined equation (x^2+7xy+2y^2 )(y-1)=0, is
- The centroid of an equilateral triangle is (0,0). If two vertices of the triangle lie on x+y=2 2, then one of them will have its...
- The equation of the straight line which is perpendicular to y=x and passes through (3,2) is
- Given a family of lines a(2x+y+4)+b(x-2y-3)=0, the number of lines belonging to the family at a distance 10 from P(2,-3) is
- Origin containing angle bisector of two lines L_1 a_1x+b_1y+c_1=0 and L_2 a_2x+b_2y+c_2=0 (where c_1c_2<0) is
- A system of lines is given as y=m_ix+c_i where m_i can take any value out of 0,1,-1 and when m_i is positive, then c_i can be 1...
- P is a point on either of two lines y- 3|x|=2 at a distance 5 unit from their point of intersection. The coordinates of the foot...
- The number of points on the line 3x+4y=5, which are at a distance of ^2 +2 cosec ^2 , R, from the point (1,3) is
- A straight line passing through P(3,1) meet the coordinate axes at A and B. It is given that distance of this straight line from...
- Statement 1: If point of intersection of the lines 4x+3y= and 3x-4y= , R is (x_1,y_1), then the locus of ( , ) is x+7y=0, x_1=y_1...
- The line xa- yb=1 cuts the x-axis at P. The equation of the line through P perpendicular to the given line is
- Statement 1: If the points (1,2) and (3,4) be on the same side of the line 3x-5y+ =0, then <7 or >11 Statement 2: If the points...
- If the distance of any point (x,y) from the origin is defined as d(x,y)= |x|,|y| , d(x,y)=a, non-zero constant, then the locus is
- If a variable line drawn through the point of intersection of straight lines x + y =1 and x + y =1 meets the coordinate axes in A...
- If the angle between the pair of straight lines represented by the equation x^2-3xy+ y^2+3x-5y+2=0, is ^ -1 ( 13 ), where ' ' is...
- A beam of light is sent along the line x-y=1. Which after refracting from the x-axis enters the opposite side by turning through...
- Let PQR be a right angled isosceles triangle, right angled at P(2,1). If the equation of the line QR is 2x+y=3, then the equation...