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Unit 04: Introduction to Analytic Geometry

Here is the list of important questions.

  • Find the area between xaxis and the curve y=4xx2 BSIC Gujranwala (2016)
  • Find h if A(1,h), B(3,2), C(7,3) are collinear — BSIC Gujranwala (2016)
  • Find the point three fifth of the way along the line segment from A(5,8), to B(5,3) BSIC Gujranwala (2016)
  • Find equation of straight line if its slop is 2 and yintercept is 5. — BSIC Gujranwala (2016)
  • Transform 5x12y+39=0 in two intercept form. — BSIC Gujranwala (2016)
  • Find angle between the line represented by 2x2+3xy5y2=0. — BSIC Gujranwala (2016)
  • Find an equation of the line through the intersection of the lines xy4=0 and 7x+y+20=0 and parallel to the line 6x+y14=0 BSIC Gujranwala (2016)
  • Transform the equation 5x12y+39=0 into slope-intercept form. — BSIC Gujranwala (2015)
  • Find the slope and angle of inclination of the line joining the points (4,6) and (4,8) BSIC Gujranwala (2015)
  • Find the point of intersection of the line x2y+1=0 and 2xy+2=0. — BSIC Gujranwala (2015)
  • Find the interior angles of the triangle whose vertices are A(2,5), B(4,3), C(1,5). — BSIC Gujranwala (2015)
  • Find the equation of the line represented by 20x2+17xy24y2=0 BSIC Gujranwala (2015)
  • Find the equation of line through the intersection of two lines x+2y+3=0 and 3x+4y+7=0 and making equal intercepts on the axes. — BSIC Gujranwala (2015)
  • Find the equations of tangents to the circle x2+y2=2 parallel to the line x2y+1=0 BSIC Gujranwala (2015)
  • A quadrilateral has a points A(9,3), B(7,7), C(3,7) and D(5,5)as its vertices. Find the midpoints of its sides. Show that the figure formed by joining the mid-points consecutively is a parallelogram.— FBSIC (2017)
  • Find equation of two parallel lines perpendicular to 2xy+3=0 such that the product of the x and yintercepts of each is 3. — FBSIC (2017)
  • Show that the lines 4x3y8=0, 3x4y6=0 and xy2=0 are concurrent and the third-line bisects the angle formed by the first two lines. — FBSIC (2017)
  • Show that points A(3,1), B(2,3), C(2,2) are vertices of an isosceles triangle. — FBSIC (2016)
  • Find an equation of the line through (4,6) and perpendicular to the line having slope 32. — FBSIC (2016)
  • Prove that the line segment joining the mid-points of two sides of a triangle is parallel to the third side and half as long.— FBSIC (2016)
  • Find area of triangle determined by points P, Q and R, P(0,0,0), Q(2,3,2), R(1,1,4).— FBSIC (2016)
  • Find the interior angles of the triangle whose vertices are A(2,11), B(6,3), C(4,9). — FBSIC (2016)
  • Find co-ordinates of the point that divides the join of A(6,3) and B(5,2) in the rario 2:3 BSIC Rawalpandi (2017)
  • Find the slope and inclination of the line joining the points (4,6) and (4,8).— BSIC Rawalpandi (2017)
  • Convert 2x4y+11=0 in normal form.— BSIC Rawalpandi (2017)
  • Find the equation of the line through the point (2,9) and intersection of the lines 2x+5y8=0, 3x4y6=0 BSIC Rawalpandi (2017)
  • Find whether the poin (5,8) lies above or below the line 2x3y+6=0. — BSIC Rawalpandi (2017)
  • Find equations of two parallel lines perpendicular to 2xy+3=0 such that the product of the x and yintercepts of each is 3.— BSIC Rawalpindi(2017)
  • Transform the equation 5x12y+39=0 into intercept form. — BSIC Sargodha(2016)
  • By means of slope, show that the points (a,2b), (c,a+b), (2c+a,2a) are col-linear. — BSIC Sargodha(2016)
  • Check whether the given point lies above or below the given line, P(7,6);4x+3y9=0 BSIC Sargodha(2016)
  • Find the angle from the line with slope 73 to the line with slope 52 BSIC Sargodha(2016)
  • Find h such that the points A(h,1), B(2,7) and C(6,7) are the vertices of a right triangle with right angleat a vertex A.— BSIC Sargodha(2016)
  • Find the point three-fifth of the way along the line segment from A(5,8) to B(5,3) BSIC Sargodha(2017)
  • By mean of slope, show that the points (4,5), (7,5), (10,15) are collinear.— BSIC Sargodha(2017)
  • Find an equation of line through A(6,5) having slope 7.— BSIC Sargodha(2017)
  • Find an equation of line through (5,8) and perpendicular to the line with slope 35.— BSIC Sargodha(2017)
  • Find the distance from the point (6,1) to the line 6x4y+9=0.— BSIC Sargodha(2017)
  • Find the centre and radius of the circle with equation 4x2+4y28x12y25=0.— BSIC Sargodha(2017)