Description : Solve the following equation `(i) 5cos2theta+2cos^(2)"(theta)/(2)+1=0`, `-(pi)/(2) lt theta lt (pi)/(2)` `(ii) sin7theta+sin4theta+sintheta=0`, `0 le
Last Answer : Solve the following equation `(i) 5cos2theta+2cos^(2)"(theta)/(2)+1=0`, `-(pi)/(2) lt theta ... iii) tantheta+sectheta=sqrt(3)`, `0 le theta le 2pi`
Description : Let `P={theta:sintheta-costheta=sqrt2cos theta}and Q={theta:sintheta+costheta=sqrt2sintheta}` be two ses. Then,
Last Answer : Let `P={theta:sintheta-costheta=sqrt2cos theta}and Q={theta:sintheta+costheta=sqrt2sintheta}` be two ses. ... QcancelsubeP` C. `PcancelsubeQ` D. `P=Q`
Description : Find the equation of the tangent to the curve `x=theta+sin theta ,y=1+cos theta` at `theta=pi/4`
Last Answer : Find the equation of the tangent to the curve `x=theta+sin theta ,y=1+cos theta` at `theta=pi/4` A. ` ... 1+sqrt2)x+(sqrt2-1) pi` D. None of the above
Description : The equation `2sin^3theta+(2lambda-3)sin^2theta-(3lambda+2)sintheta-2lambda=0` has exactly three roots in `(0,2pi)` , then `lambda` can be equal to 0
Last Answer : The equation `2sin^3theta+(2lambda-3)sin^2theta-(3lambda+2)sintheta-2lambda=0` has exactly three roots in `(0,2pi)` , ... -1 B. 0 C. `(1)/(2)` D. 1
Description : Let `-1/6 < theta < -pi/12` Suppose `alpha_1 and beta_1`, are the roots of the equation `x^2-2xsectheta + 1=0` and `alpha_2 and beta_2` are the
Last Answer : Let `-1/6 < theta < -pi/12` Suppose `alpha_1 and beta_1`, are the roots of the equation `x^2-2xsectheta ... )` B. `2sectheta` C. `-2tantheta` D. `0`
Description : Find the equation of normal of the curve `2y= 7x - 5x^(2)` at those points at which the curve intersects the line x = y.
Last Answer : Find the equation of normal of the curve `2y= 7x - 5x^(2)` at those points at which the curve intersects the line x = y.
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 : Find the equation of the normal to the curve `y = 5x + x^2` which makes an angle `45^@` with x axis.
Last Answer : Find the equation of the normal to the curve `y = 5x + x^2` which makes an angle `45^@` with x axis.
Description : What are both solutions between -180 and 180 degrees of the equation (tan theta -7over10)?
Last Answer : They are theta = -34.99 degrees and 145.09 deg.
Description : What are both solutions between 0 degrees and 360 degrees of the equation cos theta 911?
Last Answer : They are 35.1 and 324.9 degrees.
Description : Let `0le theta le pi/2` `x=Xcos theta + Ysin theta` `y=Xsin theta - Y cos theta` such that `x^2+4xy+y^2=aX^2+bY^2` where `a,b` are constants such that
Last Answer : Let `0le theta le pi/2` `x=Xcos theta + Ysin theta` `y=Xsin theta - Y cos theta` such that `x^2+4xy+y^2=aX^2+ ... C. `a=3`, `b=-1` D. `theta=(pi)/(3)`
Description : If `(m + 2) sintheta + (2m-1) costheta = 2m+1`, then
Last Answer : If `(m + 2) sintheta + (2m-1) costheta = 2m+1`, then A. `tantheta=(3)/(4)` B. `tantheta=(2m)/(m^(2 ... `tantheta=(2m)/(m^(2)-1)` D. `tantheta=(4)/(3)`
Description : Equation of tangent of the curve `y = 1 - e^(x//2)` at that point at which the curve crosses the y-axis, is :
Last Answer : Equation of tangent of the curve `y = 1 - e^(x//2)` at that point at which the curve crosses the y-axis, is ... `2x+y = 1` C. `x=-2y` D. None of these
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 : 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 : Find the equation of tangent of the curve `9x^(2)+16y^(2) = 144` at those points at which tangents are parallel to (i) X-axis, (ii) Y-axis.
Last Answer : Find the equation of tangent of the curve `9x^(2)+16y^(2) = 144` at those points at which tangents are parallel to (i) X-axis, (ii) Y-axis.
Description : Find the equation of tangent of the curve ` x^(2)+y^(2)=5` at point (1, 2).
Last Answer : Find the equation of tangent of the curve ` x^(2)+y^(2)=5` at point (1, 2).
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 : The equation of a curve passing through `(2,7/2)` and having gradient `1-1/(x^2)` at `(x , y)` is (a) `( b ) (c) y=( d ) x^(( e )2( f ))( g )+x+1( h )
Last Answer : The equation of a curve passing through `(2,7/2)` and having gradient `1-1/(x^2)` at `(x , y)` is (a) `( b ) ... (2)+3` C. `xy=x+5` D. `xy=x^(2)+x+1`
Description : The standard equation of a cubic parabolic transition curve provided on roads, is (A) y = x3 /6 RL (B) y = x/6 RL (C) y = l²/6 RL (D) y = l3 /6 RL
Last Answer : Answer: Option A
Description : The standard equation of a cubical spiral transition curve provided on roads, is (A) y = l²/6RL (B) y = x3 /6RL (C) y = x2 /6RL (D) y = x/6RL
Last Answer : Answer: Option B
Description : Find parametric equation for Y-coordinates of Hermite cubic spline curve having endpoints P0[4,4]; P1[8,5] a.2u3-3u2+2u+4 b.3u3-2u2-2u-4 c.2u3-3u2-2u-4 d.2u3+3u2+2u+4
Last Answer : a.2u3-3u2+2u+4
Description : Find the equation of tangent of the curve `y^(2) = 4x+5` which is parallel to the line ` 2x-y=5`.
Last Answer : Find the equation of tangent of the curve `y^(2) = 4x+5` which is parallel to the line ` 2x-y=5`.
Description : An upgrade g1% is followed by a downgrade g2%. The equation of the parabolic curve of length L to be introduced, is given by (A) y = g [(g - g L] x² (B) y = [(g g L] x² (C) y = [(g - g L] x² (D) y = [(g g L] x²
Description : If `2cosec theta - cos theta cot theta >= k AA theta in (0,pi),` then value of `k` is
Last Answer : If `2cosec theta - cos theta cot theta >= k AA theta in (0,pi),` then value of `k` is
Description : If `sin theta+ sin^2theta+ sin^3theta=1` ,prove that `cos^6theta-4 cos^4theta+8cos^2= 4`
Last Answer : If `sin theta+ sin^2theta+ sin^3theta=1` ,prove that `cos^6theta-4 cos^4theta+8cos^2= 4`
Description : An isosceles triangle of vertical angle `2theta` is inscribed in a circle of radius `a` . Show that the area of the triangle is maximum when `theta=pi
Last Answer : An isosceles triangle of vertical angle `2theta` is inscribed in a circle of radius `a` . Show that the area of ... pi/4` C. `pi/6` D. None of these.
Description : The sum of all values of `theta in (0,pi/2)` satisfying `sin^(2)2theta+cos^(4)2theta=3/4` is
Last Answer : The sum of all values of `theta in (0,pi/2)` satisfying `sin^(2)2theta+cos^(4)2theta=3/4` is A. `pi` B. `(pi)/(2)` C. `(3pi)/(8)` D. `(5pi)/(4)`
Description : Let `theta ,phi in [0,2pi]` be such that `2 cos theta (1-sin phi)=sin^2 theta ((tan)theta/2+(cot)theta/2) cos phi -1, tan(2pi-theta) > 0 and -1 <
Last Answer : Let `theta ,phi in [0,2pi]` be such that `2 cos theta (1-sin phi)=sin^2 theta ((tan)theta/2+(cot)theta/2) ... (3pi)/(2)` D. `(3pi)/(2) lt phi lt 2pi`
Description : The number of values of `theta` in the interval `(-pi/2,pi/2)` such that `theta != npi/5` for `ninN` and `tan theta = cot 5theta` as well as `sin2thet
Last Answer : The number of values of `theta` in the interval `(-pi/2,pi/2)` such that `theta != npi/5` for ... = cot 5theta` as well as `sin2theta = cos 4theta` is
Description : The maximum value of the expression `(1)/(sin^(2)theta+3sinthetacostheta+5cos^(2)theta)` is
Last Answer : The maximum value of the expression `(1)/(sin^(2)theta+3sinthetacostheta+5cos^(2)theta)` is
Description : for `0ltthetaltpi/2 ` the solution(s) of ` sum_(m=1)^6c o s e c(theta+((m-1)pi)/4)c o s e c(theta+(mpi)/n)=4sqrt(2)` is (are):
Last Answer : for `0ltthetaltpi/2 ` the solution(s) of ` sum_(m=1)^6c o s e c(theta+((m-1)pi)/4)c o s e c(theta+(mpi)/n ... (pi)/(6)` C. `(pi)/(12)` D. `(5pi)/(12)`
Description : One moles of anhydrous `AB` dissolves in water and liberates `21.0 J mol^(-1)` of heat. The valueof `DeltaH^(Theta)` (hydration) of `AB` is `-29.4 J m
Last Answer : One moles of anhydrous `AB` dissolves in water and liberates `21.0 J mol^(-1)` of heat. The valueof `DeltaH^(Theta) ... mol^(-1)` D. `-8.4 J mol^(-1)`
Description : Arrange the following in correct order of their stability ? `(I) CH-=overset(Theta)C " "(II) CH_(2)=overset(Theta)CH " "(III) CH_(3)-overset(Theta)CH_
Last Answer : Arrange the following in correct order of their stability ? `(I) CH-=overset(Theta)C " "(II) CH_(2)=overset( ... gt III gt I` D. `II gt I gt III`
Description : A stone thrown at an angle `theta` to the horizontal reaches a maximum height h. The time of flight of the stone is :-
Last Answer : A stone thrown at an angle `theta` to the horizontal reaches a maximum height h. The time of flight of the stone is ... )/(g))` D. ` sqrt((2h)/(g))`
Description : The major product H in the given reaction sequence is `CH_(3)-CH_(2)-CO-CH_(3) overset(._(Theta)CN)toG overset(95% H_(2)SO_(4)) underset("Heat")toH`
Last Answer : The major product H in the given reaction sequence is `CH_(3)-CH_(2)-CO-CH_(3) overset(._(Theta)CN) ... CH=underset(CH_(3))underset(|)(C)-CO-NH_(2)`
Description : The pair of electrons in the given carbanion, `CH_(3)C-=C^(Theta)` is present in which of the following orbitals?
Last Answer : The pair of electrons in the given carbanion, `CH_(3)C-=C^(Theta)` is present in which of the following orbitals? A. ... ` B. `sp^(2)` C. `2p` D. `sp`
Description : `Ph-overset(O)overset(||)(C)-NH_(2)+Ph-CH_(2)-overset(O)overset(||)(C)-overset(15)(N)H_(2) overset(overset(Theta)(OH)+Br_(2))rarr A+B` Products A and
Last Answer : `Ph-overset(O)overset(||)(C)-NH_(2)+Ph-CH_(2)-overset(O)overset(||)(C)-overset(15)(N)H_(2) overset(overset ... (2)-NH_(2)` D. `Ph-overset(15)(N)H_(2)`
Description : Reaction I `Ph-overset(O)overset(||)(C)-NH_(2) overset(overset(Theta)(OD),Br_(2))rarrA` Reaction II `Ph-overset(O)overset(||)(C)-ND_(2) overset(overse
Last Answer : Reaction I `Ph-overset(O)overset(||)(C)-NH_(2) overset(overset(Theta)(OD),Br_(2))rarrA` Reaction II `Ph- ... Both `Ph-NH_(2)` D. Both `Ph-ND_(2)`
Description : Two plane mirrors are inclined at angle `theta` as shown in figure. If a ray parallel to OB strikes the other mirror at P and finally emerges parallel
Last Answer : Two plane mirrors are inclined at angle `theta` as shown in figure. If a ray parallel to OB ... OA after two reflections then `theta` is equal to
Description : In a uniform ring of resistance `R` there are two points `A` and `B` such that `/_ ACB = theta`, where `C` is the centre of the ring. The equivalent r
Last Answer : In a uniform ring of resistance `R` there are two points `A` and `B` such that `/_ ACB = theta`, where `C` ... ))` D. `(R )/(4pi^(2))(2pi-theta)theta`
Description : If a cos theta plus b sin theta equals 8 and a sin theta - b cos theta equals 5 show that a squared plus b squared equals 89?
Last Answer : There is a hint to how to solve this in what is required to be shown: a and b are both squared.Ifa cos θ + b sin θ = 8a sin θ - b cos θ = 5then square both sides of each to get:a² cos² θ + 2ab cos ... + sin² θ) + b² (sin² θ + cos² θ) = 89using cos² θ + sin² θ = 1â†' a² + b² = 89
Description : If cos and theta 0.65 what is the value of sin and theta?
Last Answer : You can use the Pythagorean identity to solve this:(sin theta) squared + (cos theta) squared = 1.
Description : If sin theta equals 3/4 and theta is in quadrant II what is the value of tan theta?
Last Answer : 0.75
Description : Spurious tuples may occur due to i. Bad normalization ii. Theta joins iii. Updating tables from join a) i& ii b) ii & iii c) i& iii d) ii & iii
Last Answer : a) i& ii b) ii & iii
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 : (i) Find the co-ordinates of the points on the curve xy = 16 at which the normal drawn meet at origin. (ii) Find the points on the curve`4x^(2)+9 y^(2
Last Answer : (i) Find the co-ordinates of the points on the curve xy = 16 at which the normal drawn meet at ... ` at which the normal drawn is parallel to X-axis.
Description : Find parametric equation for X-coordinates of hermite cubic spline curve having endpoints P0[4,4]; P1[8,5] a.-5u3+8u2+u+1 b.5u3+8u2+u+1 c.8u3-5u2-u+1 d.8u3+5u2+u+1
Last Answer : a.-5u3+8u2+u+1
Description : Find the point on the curve `9y^2=x^3,` where the normal to the curve makes equal intercepts on the axes.
Last Answer : Find the point on the curve `9y^2=x^3,` where the normal to the curve makes equal intercepts on the axes. A. `(3, ... `(3, pm 8/3)` D. `(4, pm 3/8)`
Last Answer : Find the point on the curve `9y^2=x^3,` where the normal to the curve makes equal intercepts on the axes.