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 : 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 : If 2x-y=4 then calculate 6x-3y=? (a)15 (b)12 (c)18 (d)10
Last Answer : (b)12
Description : What is the value of x, y in the following pair of linear equations: 4x + = 15 , 6x – = 14 ? (a) 3,2 (b) -3,-2 (c) 3,-2 (d) -3,2
Last Answer : (a) 3,2
Description : Let f and g be the functions from the set of integers to the set integers defined by f(x) = 2x + 3 and g(x) = 3x + 2 Then the composition of f and g and g and f is given as (A) 6x + 7, 6x + 11 (B) 6x + 11, 6x + 7 (C) 5x + 5, 5x + 5 (D) None of the above
Last Answer : (A) 6x + 7, 6x + 11 Explanation: fog(x)=f(g(x))=f(3x+2)=2(3x+2)+3=6x+7 gof(x)=g(f(x))=g(2x+3)=3(2x+3)+2=6x+11
Description : One equation of a pair of dependent linear equations is -5x+7y=2 .The second equation can be (a)10x-14y-4=0 (b) -10x+14y+4=0 (c) 10x-14y-4=0 (d) -10x+14y-4=0
Last Answer : (d) -10x+14y-4=0
Description : How many solutions are there to the equation below 6x plus 30 plus 4x 10(x plus 3)?
Last Answer : What is the answer ?
Description : What is the answer 6x-8y-5x plus 3y?
Last Answer : The given expression can be simplified to: x-5y
Description : 6x- 8y- 5x + 3y?
Last Answer : x-5y
Description : Find any four solutions of the equation 4x+3y=12. -Maths 9th
Last Answer : Given equation is 4x + 3y =12 On putting x = 0 in Eq. (i), we get 4(0) +3y =12 ⇒ 3y =12 ⇒ y = 12 / 3 = 4 So, (0, 4) is a solution of given equation. On putting y = 0 in Eq. (i), we ... given equation. Hence the four solutions of given equation are (0, 4), (3, 0), (1, 8 / 3) and (2,4 / 3).
Description : Assertion (A) : The value of k for which the system of linear equations kx+2y+1=0 and 6x+4y-5=0 has a unique solution is 3. Reason (R):The system of linear equations a1x + b1y + c1= 0 and a2x + ... not the correct explanation of A. (c) A is correct; R is incorrect. (d) R is correct; A is incorrect.
Last Answer : (d) R is correct; A is incorrect.
Description : Out of the following linear equations in two variables, the two representing a pair of parallel lines graphically are: 3x - 4y = 6 3x + 4y = 6 6x + 8y = 12 6x - 8y + 6 = 0 (a) 3x - 4y = 6 and 6x + 8y = 12 (b) 3x - 4y = 6 ... 6 = 0 (c) 6x + 8y = 12 and 3x + 4y = 6 (d) 6x - 8y + 6 = 0 and 3x + 4y = 6
Last Answer : (b) 3x - 4y = 6 and 6x - 8y + 6 = 0
Description : How many solutions are there to the equation below 4x - 9(x plus 1) 20 - 5x?
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 : The number of distinct solutions of the equation `5/4cos^(2)2x + cos^4 x + sin^4 x+cos^6x+sin^6 x =2` in the interval `[0,2pi] ` is
Last Answer : The number of distinct solutions of the equation `5/4cos^(2)2x + cos^4 x + sin^4 x+cos^6x+sin^6 x =2` in the interval `[0,2pi] ` is
Description : Solve for `x` `(i) |x+1|=4x+3` `(ii) |x+1|=|x+3|` `(iii) 7|x-2|-|x-7|=5` `(iv) ||x-1|-2|=6x+8` `(v) |2x^(2)-3x+1|=|x^(2)+x-3|`
Last Answer : Solve for `x` `(i) |x+1|=4x+3` `(ii) |x+1|=|x+3|` `(iii) 7|x-2|-|x-7|=5` `(iv) ||x-1|-2|=6x+8` `(v) |2x^(2)-3x+1|=|x^(2)+x-3|`
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 : If (2, 0) is a solution of the linear equation 2x + 3y = k, then the value of k is -Maths 9th
Last Answer : (a) Since, (2, 0) is a solution of the given linear equation 2x + 3y = k, then put x =2 and y= 0 in the equation. ⇒ 2 (2) + 3 (0) = k ⇒ k = 4 Hence, the value of k is 4.
Description : The graph of the linear equation 2x + 3y = 6 cuts the Y-axis at the point. -Maths 9th
Last Answer : (d) Since, the graph of linear equation 2x + 3y = 6 cuts the Y-axis. So, we put x = 0 in the given equation 2x+ 3y = 6, we get 2 x 0+ 3y = 6 ⇒ 3y = 6 y = 2. Hence, at the point (0, 2), the given linear equation cuts the Y-axis.
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 : Express the given equation as linear equation in two variables in standard form: 3y = 2x. -Maths 9th
Last Answer : Solution :- 2x - √3y + 0 = 0
Description : At what point does the graph of the linear equation 2x + 3y = 9 meet a line which is parallel to the y-axis, at a distance of 4 units from the origin and on the right of the y-axis? -Maths 9th
Last Answer : hope its clear
Description : Solve log2x + 3 (6x^2 + 23x + 21) = 4 – log3x + 7 (4x^2 + 12x + 9). -Maths 9th
Last Answer : answer:
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 : In the linear equation y = 4x + 13, if x is the number of hours a labourer is on work and y are his wages in rupees then draw the graph. Also find the wages when work is done for 6 hours. -Maths 9th
Last Answer : when the work is done for 6 hours x=6 y=4(6)+13 y=24+13 y=37 the labourer gets Rs.37 if he works for 6hrs
Description : Find the value of k if (x-2)is a factor of polynomial p(x) = 2x(cube) - 6x(square) + 5x + k. -Maths 9th
Last Answer : Solution :-
Description : What is the equation of the tangent line that meets the circle x2 -4x plus y2 -6y equals 4 at the point 6 4?
Last Answer : Circle equation: x^2 -4x +y^2 -6y = 4Completing the squares: (x-2)^2 +(y-3)^2 = 17Point of contact: (6, 4)Center of circle: (2, 3)Slope of radius: 1/4Slope of tangent line: -4Tangent equation: y-4 = -4(x-6) => y = -4x+28Tangent line equation in its general form: 4x+y-28 = 0
Description : Simplify (9-4x^ 2 +2x^ 2 +8x^ 2 +1+6x^ 2?
Last Answer : 12x^2+10
Description : `int cos 2x . cos 4x . cos 6x dx`
Last Answer : `int cos 2x . cos 4x . cos 6x dx`
Description : What is 6x - 9y - 2?
Last Answer : It is 3 terms of an algebraic expression
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 : If lines corresponding to given linear equations are coincident, the solutionof the given equations is: e) Unique solution f) Two solutionsg) Infintely many solutions h) No solution
Last Answer : g) Infintely many solutions
Description : If lines corresponding to given linear equations are coincident, the solutionof the given equations is: a) Unique solution b) Two solutions c) Infintely many solutions d) No solution
Last Answer : c) Infintely many solutions
Description : The fractions 7/11, 16/20, 21/22 when arranged in descending order is (1) 7/11,16/20,21/22 (2) 21/22,7/11,16/20 (3) 21/22,16/20,7/11 (4) 7/11,21/22,16/20
Last Answer : (3) 21/22,16/20,7/11
Description : `lim_(x rarr 1) (sqrt(x+1)-sqrt(5x-3))/(sqrt(2x+3)-sqrt(4x+1))=`_________.
Last Answer : `lim_(x rarr 1) (sqrt(x+1)-sqrt(5x-3))/(sqrt(2x+3)-sqrt(4x+1))=`_________.
Description : Factorize 6x^4-6y^4 -Maths 9th
Last Answer : =6(x^4 - y^4) =6[(x^2)^2 - (y^2)^2] =6[(x^2 - y^2)(x^2 + y^2) [(a+b)(a-b)=a^2 - b^2] =6[(x+y)(x-y)(x^2 + y^2)]
Description : If α and β are the zeroes of the polynomial 5x 2 – 7x + 2, then sum of their reciprocals is: (a) 14/25 (b) 7/5 (c) 2/5 (d) 7/2
Last Answer : (d) 7/2
Description : What is the coefficient of “p” after simplifying the following expressions 6y + 7p – 3y + 6p -7p²A. 7B. 9C. 13D. 22?
Last Answer : A. 7B. 9C. 13D. 22
Description : Prove that the curve `y^2=4x and x^2 +y^2 - 6x +1=0` touches each other at thepoint `(1, 2),` find the equation of the common tangents.
Last Answer : Prove that the curve `y^2=4x and x^2 +y^2 - 6x +1=0` touches each other at thepoint `(1, 2),` find the equation of the common tangents.
Description : What is the equation of the line joining the origin with the point of intersection of the lines 4x + 3y = 12 and 3x + 4y = 12 ? -Maths 9th
Last Answer : (b) (5, 6)Let the foot of the perpendicular be M(x1, y1) Slope of line AB, i.e., y = -x + 11 = -1 Slope of line PM = \(rac{y_1-3}{x_1-2}\)Now, PM ⊥ AB⇒ \(\bigg(rac{y_1-3}{x_1-2}\bigg)\) x - ... get 2x1 = 10 ⇒ x1 = 5 Putting x1 in (ii), we get y1 = 6. ∴ Required foot of the perpendicular M is (5, 6).
Description : What equation describes a line that passes through the point (-14) and is perpendicular to the line 4x-3y-9?
Last Answer : If you mean point (-1, 4) and equation of 4x-3y = -9 then y =4/3x+3Slope of equation: 4/3Perpendicular slope: -3/4Perpendicular equation: y-4 = -3/4(x--1) => 4y = -3x+13
Description : How many real solutions (intersections) will there be in this system of two equations 5x(2) plus y 2x(2) plus y?
Last Answer : None because the given terms of an expression are not equations because there are no equality signs.
Description : The point (2,3) lies on the graph of the linear equation 3x - (a -1)y =2a -1. If the same point also lies on the graph of the linear equation 5x + (1-2a)y = 3b, then find the value of b. -Maths 9th
Last Answer : Given, point (2,3) lies on the line. So, the point (2, 3) is the solution of 3x - (a -1) y = 2a - 1 On putting x = 2 and y = 3 in given solution. ∴ 3 2 - (a-1) 3 = 2a - 1 ⇒ 6 - 3a + 3 = 2a - 1 ⇒ - 3a ... 2 2) 3 = 3b ⇒ 10 - 9 = 3b ⇒ 1 = 3b ⇒ 1 / 3 = b Hence, the value of b is 1 / 3.