Description : If `alpha, beta` are the roots of the equation `x^2 + (sin phi -1)x-1/2 cos^2 phi = 0 (phi in R),` then the maximum value of the sum of the squares of
Last Answer : If `alpha, beta` are the roots of the equation `x^2 + (sin phi -1)x-1/2 cos^2 phi = 0 (phi in R),` then ... the roots is. A. 4 B. 3 C. `9//4` D. 2
Description : If `alpha, beta` are the roots of the quadratic equation `lx^(2) + mx + n = 0`,then evaluate the following expressions. (a) `alpha^(2) + beta^(2)` (b)
Last Answer : If `alpha, beta` are the roots of the quadratic equation `lx^(2) + mx + n = 0`,then evaluate the following ... ) `1/(alpha^(3)) + 1/(beta^(3))`
Description : If `alpha` and `beta` are the roots of the quadratic equation `x^(2) + 3x - 4 = 0`, then `alpha^(-1) + beta^(-1) = "_____"`.
Last Answer : If `alpha` and `beta` are the roots of the quadratic equation `x^(2) + 3x - 4 = 0`, then `alpha^(-1) + beta^(-1) = "_____"`.
Description : If the equation `3x^(2) - 2x-3 = 0`has roots `alpha`, and `beta` then `alpha.beta = "______"`.
Last Answer : If the equation `3x^(2) - 2x-3 = 0`has roots `alpha`, and `beta` then `alpha.beta = "______"`.
Description : If the roots of the quadratic equation `4x^(2) -16x + p = 0`, are real and unequal, then find the value/s of p.
Last Answer : If the roots of the quadratic equation `4x^(2) -16x + p = 0`, are real and unequal, then find the value/s of p.
Description : Let `alpha,beta`, are two real solution of equation `(log_(10)x)^2 + log_(10)x^2 = (log_(10))^2 -1,` then ` sqrt1/(alpha beta)`equal to `(i) 20 (ii) 3
Last Answer : Let `alpha,beta`, are two real solution of equation `(log_(10)x)^2 + log_(10)x^2 = (log_(10))^2 -1,` then ` ... 1` A. `20` B. `3` C. `10` D. `1`
Description : `._(92)U^(238)` emits `8 alpha-` particles and `6 beta-` particles. The `n//p` ratio in the product nucleus is a)`(62)/(41)` b)`(60)/(41)` c)`(61)/(42
Last Answer : `._(92)U^(238)` emits `8 alpha-` particles and `6 beta-` particles. The `n//p` ratio in the product nucleus ... A. 60/41 B. 61/40 C. 62/41 D. 61/42
Description : In the disintegration of a radioactive element, `alpha` and `beta`-particles are evolved from the nucleus: `._(0)^(1)n to ._(1)^(1)H + ._(-1)^(0)e` +
Last Answer : In the disintegration of a radioactive element, `alpha` and `beta`-particles are evolved from ... of `gamma`-radiations may yield nuclear isomer
Description : In the disintegration of a radioactive element, `alpha`- and `beta`-particles are evolved from the nucleus. `._(0)n^(1) rarr ._(1)H^(1) + ._(-1)e^(0)
Last Answer : In the disintegration of a radioactive element, `alpha`- and `beta`-particles are evolved from the nucleus. `._(0 ... C. `2 alpha, 2 beta` D. `n beta`
Last Answer : In the disintegration of a radioactive element, `alpha`- and `beta`-particles are evolved from the ... C. decreases by 2 unit D. remains unaffected
Last Answer : In the disintegration of a radioactive element, `alpha`- and `beta`-particles are evolved from the nucleus. `._(0) ... in A. IIA B. IA C. IIB D. IVB
Last Answer : In the disintegration of a radioactive element, `alpha`- and `beta`-particles are evolved from the nucleus. ... , beta, beta` D. `beta, gamma, alpha`
Description : If the roots of the equation x^2 + x + 1 = 0 are in the ratio of m : n, then which one of the following relation holds ? -Maths 9th
Last Answer : answer:
Description : If one roots of the equation `x^(2) - mx + n = 0` is twice the other root, then show that `2m^(2) = 9pi`.
Last Answer : If one roots of the equation `x^(2) - mx + n = 0` is twice the other root, then show that `2m^(2) = 9pi`.
Description : Let `cos(alpha+beta)=(4)/(5)` and let `sin(alpha-beta)=(5)/(13)`, where `0 le alpha`, `beta=(pi)/(4)`. Then`tan2alpha=`
Last Answer : Let `cos(alpha+beta)=(4)/(5)` and let `sin(alpha-beta)=(5)/(13)`, where `0 le alpha`, `beta=(pi)/(4)`. Then ... 19)/(12)` C. `(20)/(7)` D. `(25)/(16)`
Description : If `sin^4 alpha + 4 cos^4 beta + 2 = 4sqrt2 sin alpha cos beta ; alpha, beta in [0,pi],` then `cos(alpha+beta) - cos(alpha - beta)` is equal to :
Last Answer : If `sin^4 alpha + 4 cos^4 beta + 2 = 4sqrt2 sin alpha cos beta ; alpha, beta in [0,pi],` then `cos(alpha+beta ... sqrt(2)` B. `0` C. `sqrt(2)` D. `-1`
Description : If `cosalpha+cosbeta+cosgamma=0=sinalpha+sinbeta+singamma`, then which of the following is/are true:- (a)`cos(alpha-beta)+cos(beta-gamma)+cos(gamma-de
Last Answer : If `cosalpha+cosbeta+cosgamma=0=sinalpha+sinbeta+singamma`, then which of the following is/are true:- (a)`cos( ... D. `A` is true and `B` is false
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 : If `0
Last Answer : If `0
Description : If the roots of the equation x^3 – ax^2 + bx – c = 0 are three consecutive integers, then what is the smallest possible value of b ? -Maths 9th
Last Answer : Let the roots of the equation x3 – ax2 + bx – c = 0 be (α – 1), α, (α + 1) ∴ S2 = (α – 1)α + α(α + 1) + (α + 1) ( ... ; 1 = b ⇒ 3α2 – 1 = b ∴ Minimum value of b = – 1, when α = 0.
Description : If `-3` and 4 are the roots of the equation `(x+k) (x-4) =0` , then the value of k is `"______"`.
Last Answer : If `-3` and 4 are the roots of the equation `(x+k) (x-4) =0` , then the value of k is `"______"`.
Description : If the arithmetic mean of the roots of the equation `4cos^(3)x-4cos^(2)x-cos(pi+x)-1=0` in the interval `[0,315]` is equal to `kpi`, then the value of
Last Answer : If the arithmetic mean of the roots of the equation `4cos^(3)x-4cos^(2)x-cos(pi+x)-1=0` in the interval `[0,315 ... is A. `10` B. `20` C. `50` D. `80`
Description : Which value is assigned to alpha and beta in the alpha-beta pruning? a) Alpha = max b) Beta = min c) Beta = max d) Both Alpha = max & Beta = min
Last Answer : d) Both Alpha = max & Beta = min
Description : Two students A and B solve an equation of the form x^2 + px + q = 0. A starts with a wrong value of p and obtains the roots as 2 and 6. -Maths 9th
Last Answer : Let αα and ββ be the roots of the quadratic equation x2+px+q=0x2+px+q=0 Given that, A starts with a wrong value of p and obtains the roots as 2 and 6. But this time q is correct. i.e., a product of roots ... 1 Now, from Eqs. (ii) and (iii), we get α=−3 and β=−4α=−3 and β=−4 which are correct roots.
Description : Statement -I: If `alpha gt beta gt 1`, then `(alpha^(sqrt(log_(alpha)beta)))/(beta^(sqrt(log_(beta)alpha)))` is greater than 1. Statement-2 : `log_(c)
Last Answer : Statement -I: If `alpha gt beta gt 1`, then `(alpha^(sqrt(log_(alpha)beta)))/(beta^(sqrt(log_( ... . D. Statement -1 is false, statement -2 is ture.
Description : Which of the following "is"//"are" correct? a)`alpha`-rays are more penetrating then `beta`-rays. b)`alpha`-rays have greater ionizing power than `bet
Last Answer : Which of the following "is"//"are" correct? a)`alpha`-rays are more penetrating then `beta ... not emitted simultaneously with `alpha` and `beta`-rays
Description : To which depth does the alpha-beta pruning can be applied? a) 10 states b) 8 States c) 6 States d) Any depth
Last Answer : d) Any depth
Description : Uranium `._(92)U^(238)` decayed to `._(82)Pb^(206)`. They decay process is `._(92)U^(238) underset((x alpha, y beta))(rarr ._(82)Pb^(206))` `t_(1//2)`
Last Answer : Uranium `._(92)U^(238)` decayed to `._(82)Pb^(206)`. They decay process is `._(92)U^(238) underset((x alpha ... 2.303)/(4.5 xx 10^(9)) xx 0.693 log 4`
Last Answer : Uranium `._(92)U^(238)` decayed to `._(82)Pb^(206)`. They decay process is `._(92)U^(238) underset((x alpha, ... be A. 5.25 B. 0.125 C. 12.5 D. 1.25
Description : The nuclide X undergoes `alpha`-decay and other nuclide Y, `beta^(-)` decay. Which of the following statements are correct? 1. The `beta^(-1)` particl
Last Answer : The nuclide X undergoes `alpha`-decay and other nuclide Y, `beta^(-)` decay. Which of the following ... and 4 are correct D. 1 and 4 are correct
Description : The nuclide `X` undergoes `alpha`-decay and another nuclides `Y` undergoes `beta^(ɵ)`-decay, which of the following statement `"is"//"are"` correct? a
Last Answer : The nuclide `X` undergoes `alpha`-decay and another nuclides `Y` undergoes `beta^(ɵ)`-decay, ... beta`-particle emitted by Y will have the same speed
Description : `._(88)^(228) X - 3 alpha - beta to Y`. The element Y is:
Last Answer : `._(88)^(228) X - 3 alpha - beta to Y`. The element Y is: A. `._(82)^(216)Pb` B. `._(82)^(217)Pb` C. `._(83)^(218)Bi` D. `._(83)^(216)Bi`
Description : Which of the following type of radiation does not originate within the nucleus ? (a) Alpha (b) Beta (c) Gamma (d) X - rays
Last Answer : Ans:(d)
Description : The maximum biological damage is produced by – (1) X rays (2) gamma - rays (3) beta - rays (4) alpha - rays
Last Answer : (2) gamma - rays Explanation: Gamma radiation, also known as gamma rays, is electromagnetic radiation of high frequency and therefore high energy. Gamma rays are ionizing radiation and are thus biologically hazardous.
Description : Isobar is produced by the emission of which of the following? (1) X-ray (2) Gamma ray (3) Beta ray (4) Alpha ray
Last Answer : (3) Beta ray Explanation: Isobar, in nuclear physics, any member of a group of atomic or nuclear species all of which have the same mass number-that is, the same total number of protons and ... because either a neutron is converted to a protonor a proton is converted to a neutron in the process.
Description : Which of the following three nuclear radiations is the most penetrating? w) alpha x) beta y) gamma
Last Answer : ANSWER: Y -- GAMMA
Description : For which of the following reasons is plutonium-238 used for generating electricity on spacecraft? w) It is an alpha emitter with long half-life. x) It is a beta emitter with high specific power. y) It occurs abundantly in nature. z) It has low specific power.
Last Answer : ANSWER: W -- IT IS AN ALPHA EMITTER WITH LONG HALF-LIFE.
Description : In radioactive decay, the emission of an electron is characteristic of: w) Alpha decay x) Beta decay y) Gamma decay z) X-rays
Last Answer : ANSWER: X -- BETA DECAY
Description : The atomic number of a nucleus will increase by 1 if which of the following is emitted by the nucleus? w) an alpha particle x) a positron y) a beta particle z) a gamma ray
Last Answer : ANSWER: Y -- BETA PARTICLE
Description : Alpha rays are different from beta rays in one of the following ways. Are they different since: w) alpha rays are deflected in a magnetic field and beta rays are not x) alpha rays are ... negative charge z) alpha rays are produced within the nucleus and beta rays are produced outside the nucleus
Last Answer : ANSWER: Y -- ALPHA RAYS HAVE A POSITIVE CHARGE AND BETA RAYS HAVE A NEGATIVE CHARGE
Description : What form of radiation most closely resembles X-rays? w) alpha x) beta y) gamma z) neutron
Description : The maximum biological damage is produced by (1) X – rays (2) gamma – rays (3) beta – rays (4) alpha – rays
Last Answer : gamma – rays
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 : The equation whose roots are the negatives of the roots of the equation x^7 + 3x^5 + x^3 – x^2 + 7x + 2 = 0 is : -Maths 9th
Description : Find the sum of the value (s) of a so that the equation (`x^(2) + 2ax + 2a + 3`) (`x^(2) + 2ax + 4a +5 `) = 0 has only 3 real distinct roots.
Last Answer : Find the sum of the value (s) of a so that the equation (`x^(2) + 2ax + 2a + 3`) (`x^(2) + 2ax + 4a +5 `) = 0 has only 3 real distinct roots.
Description : For what value of k will the roots of the equation kx^2 – 5x + 6 = 0 be in the ratio 2 : 3 ? -Maths 9th
Last Answer : (b) 1 Let the roots of the equation kx2 - 5x + 6 = 0 be α and β. Then, α + β = \(\frac{5}{k}\) ...(i) αβ = \(\frac{6}{k}\) ...(ii) Given \(\ ... frac{9}{k}\) ⇒ 9k2 - 9k = 0 k(k - 1) = 0 ⇒ k = 0 or 1 But k = 0 does not satisfy the condition, so k = 1.
Description : A nucleus X, initially at rest , undergoes alpha dacay according to the equation , ` _(92)^(A) X rarr _(Z)^(228)Y + alpha ` (a) Find the value of `A`
Last Answer : A nucleus X, initially at rest , undergoes alpha dacay according to the equation , ` _(92)^(A) X rarr _(Z)^(228)Y + ... u , m (_(1)^(1) H) = 1.008 u `
Description : If x^2 – 4x + 1 = 0, then what is the value of x^3 + 1/x^3? -Maths 9th
Last Answer : Hope its clearrrrrrr!!!!!!!!!!!!!!!!!!!
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 : Let p and q be the roots of the quadratic equation x^2 – (a – 2)x – a – 1 = 0. What is the minimum possible value of p^2 + q^2 ? -Maths 9th