Description : Let `A={x : x in R,-1 lt x lt 1}`, `B={x : x in R, x le0 or x ge 2}` and `AuuB=R-D`, then find set `D`
Last Answer : Let `A={x : x in R,-1 lt x lt 1}`, `B={x : x in R, x le0 or x ge 2}` and `AuuB=R-D`, then find set `D`
Description : If x +1 is a factor of ax3 +x2 -2x + 4a - 9, then find the value of a. -Maths 9th
Last Answer : The value of a
Description : If the HCF of (x^2 + x – 12) and (2x^2 – kx – 9) is (x – k), then what is the value of k ? -Maths 9th
Last Answer : answer:
Description : If `(2x-9)` is a factor of `2x^(2) + px - 9`, then `p = "_____"`.
Last Answer : If `(2x-9)` is a factor of `2x^(2) + px - 9`, then `p = "_____"`.
Description : If `5(tan^2x - cos^2x)=2cos 2x + 9`, then the value of cos4x is
Last Answer : If `5(tan^2x - cos^2x)=2cos 2x + 9`, then the value of cos4x is A. `(-3)/(5)` B. `(1)/(3)` C. `(2)/(9)` D. `-(7)/(9)`
Description : If (x+1) is a factor of ax(cube) + x(square) - 2x + 4a - 9,find the value of a. -Maths 9th
Last Answer : solution :-
Description : Solve the following inequlities `(i) sqrt(x-1) lt x-3` `(ii) sqrt(x-3) gt sqrt(7-x)` `(iii) sqrt (x^(2)+4x+9) gt x +2` `(iv) 4-x lt sqrt(2x-x^(2))` `(
Last Answer : Solve the following inequlities `(i) sqrt(x-1) lt x-3` `(ii) sqrt(x-3) gt sqrt(7-x)` `(iii) sqrt (x^(2)+4x+ ... (ix) (|x+2|-|x|)/(sqrt(8-x^(3))) ge 0`
Description : Solve the following in equalities `(i) |x+7| gt 5` `(ii) |x+3| lt 10` `(iii) (x+2) lt |x^(2)+3x+5|``(iv) |(2x-1)/(x-1)| gt 2` `(v) |x-6| le x^(2)-5x+9
Last Answer : Solve the following in equalities `(i) |x+7| gt 5` `(ii) |x+3| lt 10` `(iii) (x+2) lt |x^(2)+3x+5|``(iv) ... -5) lt 0` `(viii) |x-1|+|x-2|+|x-3| le 6`
Description : Solve for `x : 2x + 3 = 9`
Last Answer : Solve for `x : 2x + 3 = 9` A. 4 B. 3 C. 2 D. 1
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 x + 2a is a factor of a5 -4a2x3 +2x + 2a +3, then find the value of a. -Maths 9th
Last Answer : Let p(x) = a5 -4a2x3 +2x + 2a +3 Since, x + 2a is a factor of p(x), then put p(-2a) = 0 (-2a)5 – 4a2 (-2a)3 + 2(-2a) + 2a + 3 = 0 ⇒ -32a5 + 32a5 -4a + 2a+ 3 = 0 ⇒ -2a + 3 = 0 2a =3 a = 3/2. Hence, the value of a is 3/2.
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 tan x = b/a , then what is the value of a cos 2x + b sin 2x? -Maths 9th
Description : If sin^4x + sin^2x = 1 then what is 1 are the value of cot^4 x + cot^2 x? -Maths 9th
Description : If 2x^2 – 7xy + 3y^2 = 0, then the value of x : y is -Maths 9th
Description : If the expressions (px^3 + 3x^2 – 3) and (2x^3 – 5x + p) when divided by (x – 4) leave the same remainder, then what is the value of p ? -Maths 9th
Last Answer : Given that the following polynomials leave the same remainder when divided by (x - 4) : We are to find the value of a. Remainder theorem: When (x - b) divides a polynomial p(x), then the remainder is p(b). So, from (i) and (ii), we get Thus, the required value of a is 1.
Description : If x^3 + 5x^2 + 10k leaves remainder – 2x when divided by x^2 + 2, then what is the value of k ? -Maths 9th
Last Answer : x3+5x2+10k =(x2+2)(x+5)+10k−2x−10 ⇒10k−2x−10=−2x ⇒10k−10=0 or k=1.
Description : If the expression (px^3 + x^2 – 2x – q) is divisible by (x – 1) and (x + 1), then the values of p and q respectively are ? -Maths 9th
Last Answer : Let f(x)=px3+x2−2x−q Since f(x) is divisible by (x−1) and (x+1) so x=1 and −1 must make f(x)=0. Therefore, p+1−2−q=0, i.e., p−q=1; and −p+1+2−q=0, i.e., p+q=3 Thus p=2 and q=1
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 the sum of the zeroes of the polynomial p(x) = (k2 – 14) x2 – 2x – 12 is 1, then find the value of k. -Maths 9th
Last Answer : p(x) = (k2 – 14) x2 – 2x – 12 Here a = k2 – 14, b = -2, c = -12 Sum of the zeroes, (α + β) = 1 …[Given] ⇒ − = 1 ⇒ −(−2)2−14 = 1 ⇒ k2 – 14 = 2 ⇒ k2 = 16 ⇒ k = ±4
Description : what- chose the property of equality that justifies the step. prove: if 10x +5= 2x-11, then x=-2?
Last Answer : division
Description : `"If "f(x) ={underset(x^(2)+1.2 le x le 3)(2x+1.1 le x le 2),` then evaluate `int_(1)^(3) f(x) dx.`
Last Answer : `"If "f(x) ={underset(x^(2)+1.2 le x le 3)(2x+1.1 le x le 2),` then evaluate `int_(1)^(3) f(x) dx.`
Description : If `lim_(x rarr 0) [(2x^(2)+3x+b)/(x^(2)+4x+3)]=2`, then the value of b is ______.
Last Answer : If `lim_(x rarr 0) [(2x^(2)+3x+b)/(x^(2)+4x+3)]=2`, then the value of b is ______.
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 : If `f(x)=|(1,x,x+1),(2x,x(x-1),(x+1)x),(3x(x-1),x(x-1)(x-2),(x+1)x(x-1))|,` then f(100) is equal to - (i)`0` (ii)`1` (iii)`100` (iv)`-100`
Last Answer : If `f(x)=|(1,x,x+1),(2x,x(x-1),(x+1)x),(3x(x-1),x(x-1)(x-2),(x+1)x(x-1))|,` then f(100) is equal to - (i)`0` (ii)`1` (iii)`100` (iv)`-100`
Description : If `f(x) = 2x^(2)+5x+2`, then find the approximate value of `f(2.01)`.
Last Answer : If `f(x) = 2x^(2)+5x+2`, then find the approximate value of `f(2.01)`.
Description : If `int (x^(2020)+x^(804)+x^(402))(2x^(1608)+5x^(402)+10)^(1//402)dx=(1)/(10a)(2x^(2010)+5x^(804)+10^(402))^(a//402)`. Then `(a-400)` is equal to ....
Last Answer : If `int (x^(2020)+x^(804)+x^(402))(2x^(1608)+5x^(402)+10)^(1//402)dx=(1)/(10a)(2x^(2010)+5x^(804)+ ... )^(a//402)`. Then `(a-400)` is equal to .......
Last Answer : If `f(x)=|(1,x,x+1),(2x,x(x-1),(x+1)x),(3x(x-1),x(x-1)(x-2),(x+1)x(x-1))|,` then f(100) is ... `1` (iii)`100` (iv)`-100` A. 1 B. 0 C. 100 D. `-100`
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 : The area bounded by the curves `y=6x-x^(2)` and `y=x^(2)-2x` is less then
Last Answer : The area bounded by the curves `y=6x-x^(2)` and `y=x^(2)-2x` is less then A. 18 B. 19 C. 22 D. 20
Description : If `A = sin^2x + cos^4 x`, then for all real x :
Last Answer : If `A = sin^2x + cos^4 x`, then for all real x : A. `(3)/(4) le A le 1` B. `(13)/(16) le A le 1` C. `1 le A le 2` D. `(3)/(4) le A le (13)/(16)`
Description : If `0
Last Answer : If `0
Description : If `f(x)={x}+{x+[(x)/(1+x^(2))]}+{x+[(x)/(1+2x^(2))]}+{x+[(x)/(1+3x^(2))]}.......+{x+[(x)/(1+99x^(2))]}`, then values of `[f(sqrt(3))]` is where `[*]`
Last Answer : If `f(x)={x}+{x+[(x)/(1+x^(2))]}+{x+[(x)/(1+2x^(2))]}+{x+[(x)/(1+3x^(2))]} ... represent fractional part function) A. `5050` B. `4950` C. `17` D. `73`
Description : If `2tan^2x-5secx=1` for exactly seven distinct value of `x in [0,(npi)/2],n in N` then find the greatest value of `ndot`
Last Answer : If `2tan^2x-5secx=1` for exactly seven distinct value of `x in [0,(npi)/2],n in N` then find the greatest value ... A. `15` B. `13` C. `14` D. `16`
Description : If `a!=0` then complete set of solution of `(x^2-2x+2^(|x|))/(x^2-a^2)>0` is
Last Answer : If `a!=0` then complete set of solution of `(x^2-2x+2^(|x|))/(x^2-a^2)>0` is A. `(-oo,-|a|)uu(|a|,oo)` ... ,oo)` C. `(-oo,-a)uu[a,oo)` D. `(-|a|,|a|)
Description : If `2x -3 = 13`, then x = ______
Last Answer : If `2x -3 = 13`, then x = ______
Description : If ` 7 3/4 : 11 2/3 = 93 : ( 2x + 10)`, then what is the value of x ?
Last Answer : If ` 7 3/4 : 11 2/3 = 93 : ( 2x + 10)`, then what is the value of x ?
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 : 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 : If 'x' is the depth of flow in an open channel of large width, then the hydraulic radius is equal to (A) x (B) x/2 (C) x/3 (D) 2x/3
Last Answer : (A) x
Description : Two infinitely long parallel conductors in vacuum any separated 1 metre between centers >then a current of 1 ampere flows the. uk each conductor, produce on each other a force of (a) 2 x 1(T2 N/m) (b) 2 x KT3 N/m (c) 2 x 10"5 N/m (d) 2x 1(T7 N/m)
Last Answer : (d) 2x 1(T7 N/m)
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 : graph of 2x+9=0 in one variable -Maths 9th
Last Answer : 2x+9=0 2x=-9 x=-9/2 x=-4.5
Description : Any solution of the linear equation 2x + 0y + 9 = 0 in two variables is of the form -Maths 9th
Last Answer : (a) The given linear equation is 2x + 0y + 9 = 0 ⇒ 2x + 9 = 0 ⇒ 2x = -9 ⇒ x= - 9/2 and y can be any real number. Hence, (-9/2 , m) is the required form of solution of the given linear equation.
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