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 : If 2x-y=4 then calculate 6x-3y=? (a)15 (b)12 (c)18 (d)10
Last Answer : (b)12
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 : Find the equation of tangents of the following curves at the given points: (i) Curve`x^(2) = 25` at point (3, 4) (ii) Curve `y = 2x^(3) + 2x^(2) - 8x+
Last Answer : Find the equation of tangents of the following curves at the given points: (i) Curve`x^(2) = 25` at point (3, 4) ... 2)(x-1) = 4x^(2)` at point (5, 5)
Description : Express the equations 2x-y + 6 =0 and 6x + y + 8 = 0, in the matrix equation form.
Last Answer : Express the equations 2x-y + 6 =0 and 6x + y + 8 = 0, in the matrix equation form.
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 : Without actual division show that 2x^4 – 6x^3 + 3x^2 + 3x – 2 is exactly divisible by x^2 – 3x + 2 -Maths 9th
Last Answer : answer:
Description : Find the maximum or minimum values of the following functions: (i)`x^(3)-2x^(2)+x+3` (ii)` x^(3)-6x^(2)+9x+4` (iii) `(x+1)(x-2)^(2)+1` (iv) `2x^(3)-9x
Last Answer : Find the maximum or minimum values of the following functions: (i)`x^(3)-2x^(2)+x+3` (ii)` x^(3)-6x^(2)+9x+4` ... 2)^(2)+1` (iv) `2x^(3)-9x^(2)+12x+1`
Description : Find the intervals in which the following functions are: (i) increasing (ii) decreasing. (a) `f(x) = 10-6x+x^(2)` (b) `f(x) = 2x^(2)-6x` (c) `f(x) = 2
Last Answer : Find the intervals in which the following functions are: (i) increasing (ii) decreasing. (a) `f(x) = 10-6x+x^(2)` (b ... ) `f(x) = (x+2)^(3)(x-3)^(3)`
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 : The y-coordinate of the centroid of the area bounded by the x-axis, the line x = 3 and the parabola y = x2 will be a.2.7 b.2.55 c.107 dynes d.2.6 e.2.65
Last Answer : a. 2.7
Description : The area bounded by the lines `y = 2, x =1, x = a` and the curve `y = f(x),` which cuts the last two lines above first line for all `a gt= 1,` is equa
Last Answer : The area bounded by the lines `y = 2, x =1, x = a` and the curve `y = f(x),` which cuts the last two ... , x ge 1` C. ` 2 sqrtx , x ge 1` D. None
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 : 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 : 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 : Consider a window bounded by the lines : x = 0; y= 0; x = 5 and y = 3. The line segment joining (–1, 0) and (4, 5), if clipped against this window will connect the points (A) (0, 1) and (2, 3) (B) (0, 1) and (3, 3) (C) (0, 1) and (4, 3) (D) (0, 1) and (3, 2)
Last Answer : (A) (0, 1) and (2, 3)
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 value of x when y 4 in the equation y 6x - 20?
Last Answer : y=4
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 : I. 6x^2 – 71x + 195 = 0 II. 12y^2 – 97y + 195 = 0 1 : if x ≥ y 2 : if x ≤ y 3 : if x > y 4 : if x < y 5 : if x = y or relationship cannot be established
Last Answer : 1 : if x ≥ y
Description : The maximum average depth due to one day storm over an area of 100 km² is 100 mm. DepthArea-Duration (DAD) curves indicate the same area of 100 km² the maximum average depth for a 3 hour storm will be (A) 100 mm (B) More than 100 mm (C) Less than 100 mm (D) None of the above
Last Answer : Answer: Option B
Description : If `log_(1/2) ((x^2+6x+9)/(2(x+1)) )< - log_2(x+1)` then complete set of values of x is
Last Answer : If `log_(1/2) ((x^2+6x+9)/(2(x+1)) )< - log_2(x+1)` then complete set of values of x is A. `(-1,1+ ... )` C. `(-1,oo)` D. `(1-2sqrt(2),1+2sqrt(2))`
Description : Find the equation of normal to the curves `x=t^2, y=2t+1` at point
Last Answer : Find the equation of normal to the curves `x=t^2, y=2t+1` at point
Description : Find the equation of normals of the following curves at the given points: (i) Curve`y^(2)=4 ax" at point "(at^(2), 2at)`. (ii) Curve `y= e^(x)" at poi
Last Answer : Find the equation of normals of the following curves at the given points: (i) Curve`y^(2)=4 ax" at point "(at^( ... (2)-9y^(2) = 432` at point (6, 4).
Description : Find the angle of intersection of the curves `x y=a^2a n dx^2+y^2=2a^2`
Last Answer : Find the angle of intersection of the curves `x y=a^2a n dx^2+y^2=2a^2`
Description : Find the slope of tengents drawn of the following curves at the given points: (i) Curve ` y =x^(3)+1` at point (0, 1) (ii) Curve ` x^(2)-y^(2)` = 20 a
Last Answer : Find the slope of tengents drawn of the following curves at the given points: (i) Curve ` y =x^(3)+1` at point ... 4" ax at point "(a/m^(2),(2a)/m)`
Description : The minimum distance between the curves `y=tanx, AA x in (-(pi)/(2),(pi)/(2)) and (x-2-(pi)/(4))^(2)+y^(2)=1` is
Last Answer : The minimum distance between the curves `y=tanx, AA x in (-(pi)/(2),(pi)/(2)) and (x-2-(pi)/(4))^(2)+y^(2 ... )-1` B. `sqrt(5)+1` C. `sqrt(2)-1` D. 2`
Description : Out of two equilibrium curves, first one lies above the diagonal and the second lies below the diagonal in the x-y plot. It means that separation by distillation is (A) Not possible in the second ... (C) More readily done in the second case compared to first one (D) None of these
Last Answer : (C) More readily done in the second case compared to first one
Description : When acetone is added in a two layer mixture of methyl isobutyl ketone and water at 30°C, the acetone distributes between the two layers and the composition of the layer follows two solubility curves. For this system ... at the concentration of the plait point (D) All (A), (B) and (C
Last Answer : (D) All (A), (B) and (C
Description : Which of the following is NOT closely associated with a non-magnetic Phase Diagram? w) Eutectic Temperature (pron: you-tek-tik) x) Curie Point y) Solidus z) Liquidus Curves
Last Answer : ANSWER: X -- CURIE POINT
Description : A particle is projected in a plane perpendicular to a uniform magnetic field. The area bounded by the path described by the particle is proportional t
Last Answer : A particle is projected in a plane perpendicular to a uniform magnetic field. The area bounded by the ... C. the kinetic energy D. None of these
Description : 58. While solving a LP model graphically, the area bounded by the constraints is called a. Feasible region b. Infeasible region c. Unbounded solution d. None of the above
Last Answer : a. Feasible region
Description : While solving a LPP graphically, the area bounded by constraints is called ................. a. Feasible region b. Infeasible region c. Unbounded region d. None of these
Description : What is the vertex of the graph of the function below y x2 plus 6x plus 5?
Last Answer : Need answer
Description : What is the domain of the function y=6x + 2?
Last Answer : 8
Description : If the primal Linear Programming problem has unbounded solution, then it’s dual problem will have (A) feasible solution (B) alternative solution (C) no feasible solution at all (D) no bounded solution at all
Last Answer : (C) no feasible solution at all
Description : Let R be a relation on the set N, defined by {(x, y) : 2x – y = 10} then R is -Maths 9th
Last Answer : (a) ReflexiveGiven, {(\(x\), y) : 2\(x\) – y = 10} Reflexive, \(x\) R \(x\) = 2\(x\) – \(x\) = 10 ⇒ \(x\) = 10 ⇒ y = 10 ∴ Point (10, 10) ∈ N ⇒ R is reflexive.
Description : If 2x^2 – 7xy + 3y^2 = 0, then the value of x : y is -Maths 9th
Description : If x + y + z = 0, then x^2/(2x^2+yz)+y^2/(2y^2+zx)+z^2/(2z^2+xy) = -Maths 9th
Description : If (x^4 – 2x^2y^2 + y^2)^(a –1) = (x – y)^2a (x + y) ^–2, then the value of a is -Maths 9th
Description : If `y(x)` is the solution of the differential equation `(dy)/(dx)=-2x(y-1)` with `y(0)=1`, then `lim_(xrarroo)y(x)` equals
Last Answer : If `y(x)` is the solution of the differential equation `(dy)/(dx)=-2x(y-1)` with `y(0)=1`, then `lim_(xrarroo)y(x)` equals
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 : Widening of the roads on curves in hilly region, is done (A) On the outer side (B) On the inner side (C) On the outer and inner sides equally (D) Less on outer side and more on inner side
Description : Pick up the correct statement from the following: (A) Safety fences are provided on either side of a roadway if embankments are in excess of 6 metres (B) Safety fences are provided on outside of the ... 2.5 metres intervals if embankments are between 1.6 metres to 3 metres (D) All the above
Last Answer : Answer: Option D
Description : Find the range of values of x which satisfy x^2 + 6x – 27 > 0, –x^2 + 3x + 4 > 0 simultaneously. -Maths 9th
Description : What are the roots of the equation log10 (x^2 – 6x + 45) = 2? -Maths 9th
Description : If 4x^2 – 6x + m is divisible by x – 3, which one of the following is the greatest divisor of m ? -Maths 9th