Description : The coordinates of the points where 2x + 5y – 10 =0 meets y axis is e) (0 , 2) f) (0 , -2) g) (2 , 2) h) (-2 , -2)
Last Answer : e) (0 , 2)
Description : A pair of linear equations which has a unique solution x = 2, y = -3 is (a) x + y = -1 ; 2x – 3y = -5 (b) 2x + 5y = -11 ; 4x + 10y = -22(c) 2x – y = 1 ; 3x + 2y = 0 (d) x – 4y – 14 = 0 ;5x – y – 13 = 0
Last Answer : (d) x – 4y – 14 = 0 ;5x – y – 13 = 0
Description : A line through the origin intersects the parabola `5y=2x^(2)-9x+10` at two points whose x-coordinates add up to 17. Then the slope of the line is ____
Last Answer : A line through the origin intersects the parabola `5y=2x^(2)-9x+10` at two points whose x- ... 17. Then the slope of the line is __________ .
Description : A (5,-1) , B (-3,-2) and C (-1,8) are the vertices of ∆ ABC . The median from A meets BC at D ,then the coordinates of the point D are: (a) (-4,6) (b) (2,7/2) (c) (1,-3/2) (d) (-2,3)
Last Answer : (d) (-2,3)
Description : The coordinates of the vertices of region bounded by lines 3x - y = 5; x+ 2y = 4 and Y-axis are: (a) A(2,0); B(5,0) and C(1,2) (b) A(2,0); B(-5,0) and C(1,2) (c) A(0,2); B(0,-5) and C(2,1) (d) A(0,2); B(0,5) and C(2,1)
Last Answer : (c) A(0,2); B(0,-5) and C(2,1)
Description : "Ravi is 10 years older than Rehan. Five years ago, one-seventh of Ravi's age was equal to one-fifth of Rehan's age." If Rehan's age be 'x' years and Ravi's age be 'y' years, which of the following pair of linear equations is ... y = 10 and 7x + 5y - 10 = 0 (d) x - y = -10 and 7y - 5x + 10 = 0
Last Answer : (b) y -x = 10 and 5y -7x + 10 = 0
Description : The ratio of the areas of the two triangles formed by the lines representing the equations and 2x – y + 2 = 0 with X axis and the lines with the Y axis is (a) 1 : 2 (b) 2 : 1 (c) 4 : 1 (d) 1 : 4
Last Answer : (c) 4 : 1
Description : . The ratio of the areas of the two triangles formed by the lines representing the equations and 2x – y + 2 = 0 with X axis and the lines with the Y axis is (a) 1 : 2 (b) 2 : 1 (c) 4 : 1 (d) 1 : 4
Description : The area of the triangular region, in the following figure, bounded by the lines 2x-y=1 and x+2y=13 and Y-axis is (a) 11.25 sq.units (b) 9.75 sq.units (c) 16.25 sq,units (d) 18.75 sq.units
Last Answer : (a) 11.25 sq.units
Description : Points P,Q,R(in this order) divide the line joining the points A(-2,2) and B(2,8) into four equal parts. The coordinates of the point Q are: (a) (-1,7/2) (b) (1,13/2) (c) (0,5) (d) (5,1/2)
Last Answer : (c) (0,5)
Description : The coordinates of the points A and B are a) (0,4) and (2,0) b) (4,0) and (0,2) c) (0,4) and (0,2) d) (4,0) and (2,0)
Last Answer : b) (4,0) and (0,2)
Description : What are the points of intersection of the line 2x plus 5y equals 4 with the curve y squared equals x plus 4?
Last Answer : If: 2x +5y = 4 then 25y^2 = 4x^2 -16x +16If: y^2 = x +4 then 25y^2 = 25x +100So: 4x^2 -16x +16 = 25x +100Transposing terms: 4x^2 -41x -84 = 0Factorizing the above: (4x+7)(x-12) = 0 meaning x = -7/4 or x =12By substitution into original equation points of intersection:(-7/4, 3/2) and (12, -4)
Description : Zeroes of a polynomial can be expressed graphically. Number of zeroes of polynomial is equal to number of points where the graph of polynomial is: (a) Intersects x-axis (b) Intersects y-axis (c) Intersects y-axis or x-axis (d) None of the above
Last Answer : (a) Intersects x-axis
Description : What is the distance from a point on the x axis to the centre of a circle when a tangent line at the point 3 4 meets the circle of x2 plus y2 -2x -6y plus 5 equals 0?
Last Answer : Circle equation: x^2 +y^2 -2x -6y +5 = 0Completing the squares: (x-1)^2 +(y-3)^2 = 5Centre of circle: (1, 3)Tangent line meets the x-axis at: (0, 5)Distance from (0, 5) to (1, 3) = 5 units using the distanceformula
Description : If 2x-y=4 then calculate 6x-3y=? (a)15 (b)12 (c)18 (d)10
Last Answer : (b)12
Description : The graph of the linear equation 2x+ 3y = 6 is a line which meets the X-axis at the point. -Maths 9th
Last Answer : (c) Since, the graph of linear equation 2x + 3y = 6 meets the X-axis. So, we put y = 0 in 2x + 3y = 6 ⇒ 2x + 3(0) = 6 = 2x + 0 = 6 ⇒ x = 6/2 ⇒ x = 3 Hence, the coordinate on X-axis is (3, 0).
Description : If b = 4 units ,the coordinates of point A on the side PQ which divides PQ internally in the ratio 1: 3 are: (a) (1,0) (b) (3,3) (c) (3,0) (d) (1,1)
Last Answer : (a) (1,0)
Description : The coordinates of the vertex R of the square PQRS are: (a) (0,b) (b) (b,0) (c) (0,0) (d) (b,b)
Last Answer : (d) (b,b)
Description : If a + b = 1 ,and the ordered pair (a, b) satisfies the equation 2x + y = , then it also satisfies (a) 2x + y (b) 3x + 4y = 3 (c) x + 2y = (d) 2x + 4y =
Last Answer : (c) x + 2y =
Description : The equation 2x+ 5y = 7 has a unique solution, if x and y are -Maths 9th
Last Answer : (a) In natural numbers, there is only one pair i.e., (1, 1) which satisfy the given equation but in positive real numbers, real numbers and rational numbers there are many pairs to satisfy the given linear equation.
Description : Using the function f(x,y) =2x+ 5y determine the maximum value of the region if the point are (-2,3),(5,-3), and (1,4)?
Last Answer : f(-2,3) = 11f(5,-3) = -5f(1,4) = 22, maximum
Description : What is the point of contact when the line y equals 2x meets the circle x2 plus y2 -8x -y plus 5 equals 0?
Last Answer : If: y = 2xThen: y^2 = 4x^2If: x^2 +y^2 -8x -y +5 = 0Then: x^2 +4x^2 -8x -2x +5 = 0Transposing terms: 5x^2 -10x +5 = 0Dividing all terms by 5: x^2 -2x +1 = 0Factorizing the above: (x-1)(x-1) = 0 meaning x = 1By substitution into original equations point of contact is madeat: (1, 2)
Description : Write the coordinates of two points on X-axis and two points on Y-axis which are at equal distances from the origin. Connect all these points and make them as vertices of quadrilateral. Name the quadrilateral thus formed. -Maths 9th
Last Answer : Let a be the equal distance from origin on both axes. Now, the coordinates of two points on equal distance 'a'on x-axis are Pla, 0) and R(-a, 0). Also, the coordinates of two points on equal distance 'a' on Y-axis are Q(0, a) and S(0, -a). Join all the four points on the graph.
Description : The distance of the point C from the y-axis is: (a) 2 units (b) 4 units (c) 8 units (d) 12 units
Last Answer : (c) 8 units
Description : How can I obtain the volume of an irregular body if I just know the vertex coordinates of the irregular body?
Last Answer : answer:There isn't an easy formula, otherwise you would have most likely gotten an answer last time you asked this. So if you have coordinates for vertices, from there you can start to create regular objects ... where you have measured the volume of the total space. It is not easy, but it is doable.
Description : The coordinates of the point X are: (a) ( - 3,3) (b) (3, - 3) (c) (3,3) (d) (-3,-3)
Last Answer : (c) (3,3)
Description : The coordinates of point A , where AB is the diameter of a circle whose centre is (1,3) and B is (5,4),are: (a) (-3,2) (b) (4,-9) (c) (2,-3) (d) (1/2,-2)
Last Answer : (a) (-3,2)
Description : The endpoint A of a line segment AB is (3 , -1). If midpoint of AB is (5,7) then the coordinates of the point B are: (a) (7,13) (b) (7,15) (c) (4,3) (d) (4,4)
Last Answer : (b) (7,15)
Description : Which of the following pair of linear equations represent the two parallel tracks of the railway line? a) x-2y-4=0 and 2x + 4y - 12 = 0 c) 2x + 4y -12 = 0 and x +2y-4=0 b) x +2y-4=0 and 2x + 4y +12 = 0 d) 2x + 4y + 12 = 0 and x-2y-4=0
Last Answer : c) 2x + 4y -12 = 0 and x +2y-4=0
Description : Find the equation of normal to the curve `y(x-2)(x-3)-x+7=0` at that point at which the curve meets X-axis.
Last Answer : Find the equation of normal to the curve `y(x-2)(x-3)-x+7=0` at that point at which the curve meets X-axis.
Description : The point (-1,2) divides the line segment joining the points A(2,5) and B(x,y) in the ratio 3:4, then the value of x2 + y2 is : (a) 27 (b) 28 (c) 29 (d) 30
Last Answer : (c) 29
Description : The graph of the polynomial p(x) = 3x – 2 is a straight line which intersects the x-axis at exactly one point namely (a) (−2/3, 0) (b) (0, −2/3) (c) (2/3, 0) (d)( 2/3, −2/3)
Last Answer : (c) (2/3, 0)
Description : What is the least common multiple of x^2, x, and 2x^2?
Last Answer : x
Description : The value of quadratic polynomial f (x) = 2x 2 – 3x- 2 at x = -2 is ...... (a) 12 (b) 15 (c) -12 (d) 16
Last Answer : (a) 12
Description : If α , β are the zeroes of f(x) = px 2 – 2x + 3p and α + β = αβ then the value of p is: (a) 1/3 (b) -2/3 (c) 2/3 (d) -1/3
Last Answer : (c) 2/3
Description : One equation of a pair of dependent linear equation is -2x + 3y = 9 , the second equation can be e) 4x + 6y = 18 f) 4x - 6y = - 18 g) -4x – 6y = 18 h) None of these
Last Answer : f) 4x - 6y = - 18
Description : One equation of a pair of dependent linear equation is -2x + 3y = 9 , the second equation can be a) 4x + 6y = 18 b) 4x - 6y = - 18 c) -4x – 6y = 18 d) None of these
Last Answer : b) 4x - 6y = - 18
Description : All solutions of the linear equation 2x + 3y = 7 are also the solutions of equation (a) 5x + 6y = 13 (b) 4x + 6y = 11 (c) 6x + 9y = 7 (d) 6x + 9y = 21
Last Answer : (d) 6x + 9y = 21
Description : Simplify (2x- 5y)3 – (2x+ 5y)3. -Maths 9th
Last Answer : (2x -5y)3 - (2x + 5y)3 = [(2x)3 - (5y)3 - 3(2x)(5y)(2x - 5y)] -[(2x)3 + (5y)3 + 3(2x)(5y)(2x+5y)] [using identity, (a - b)3 = a3 -b3 - 3ab and (a + b)3 =a3 +b3 + 3ab] = (2x)3 - (5y)3 - ... 2x)3- (5y)3 - 30xy (2x + 5y) = -2 (5y)3 - 30xy(2x - 5y + 2x + 5y) = -2 x 125y3 - 30xy(4x) = -250y3 -120x2y
Description : The linear equation 2x – 5y = 7 has -Maths 9th
Last Answer : (c) In the given equation 2x – 5y = 7, for every value of x, we get a corresponding value of y and vice-versa. Therefore, the linear equation has infinitely many solutions.
Description : Expand using suitable identity (-2x + 5y - 3z) to the whole square. -Maths 9th
Last Answer : Solution :-
Description : Simplify: (2x–5y)3 – (2x + 5y)3 -Maths 9th
Description : How many solutions does the equation 2x +5y=8 has? -Maths 9th
Last Answer : Solution :- Infinitely many solutions.
Description : Find the coordinate where the linear equation 4x - 23 y = 7 meets at y-axis. -Maths 9th
Last Answer : 4x-2=-7*3y 4x+21y=2 The equation meets y axis when x=0 4.0+21y=2 y=21/2 Hence , the equation meets y-axis at (0,21/2)
Description : The midpoint of the line segment joining the points B and D is: (a) (10,11) (b) (11,5) (c) (7/2,11/2) (d) (5,11/2)
Last Answer : (c) (7/2,11/2)
Description : Which axis is parallel to the line on which the two points with coordinates (4, 3) and (4,–2) lie? -Maths 9th
Last Answer : Solution :- As x-coordinate of both points is 4. So, both points lie on the line x = 4 which is parallel to y-axis.