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This section includes InterviewSolutions, each offering curated multiple-choice questions to sharpen your knowledge and support exam preparation. Choose a topic below to get started.
| 9701. |
If 2 sin2 B -cos2B=2,then B is |
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Answer» 90° or 180° Pta nhi |
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| 9702. |
in the backyard of house ,Payal |
| Answer» Please complete your question | |
| 9703. |
solve the following pair of linear equations.(I)ax+by=a-b,bx-ay=a+b |
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Answer» ax+by=a-bax=a-b-byx=a-b-by/a←bx-ay=a+bsubstitutingb(a-b-by/a)-ay=a+bab-b²-b²y/a-ay=a+bab-b²-b²y-a²y/a=a+bab-b²-(b²+a²)y=a²+ab-(b²+a²)y=a²+ab-ab+b²(b²+a²)y=-(a²+b²)y=-(a²+b²)/a²+b²y=-1←substituting value of yx=a-b-b(-1)/ax=a-b+b/ax=a/ax=1 ax+by=a-bax=a-b-byx=a-b-by/a←bx-ay=a+bsubstitutingb(a-b-by/a)-ay=a+bab-b²-b²y/a-ay=a+bab-b²-b²y-a²y/a=a+bab-b²-(b²+a²)y=a²+ab-(b²+a²)y=a²+ab-ab+b²(b²+a²)y=-(a²+b²)y=-(a²+b²)/a²+b²y=-1←substituting value of yx=a-b-b(-1)/ax=a-b+b/ax=a/ax=1 |
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| 9704. |
In triangle ABC ,right angled at b ,if tan A 4/4 then the value of cosC is |
| Answer» Given that: In ∆ABC, angle b=90°And tan A =4/4=P/B.Find: Cos C=?By using Pythagoras theorem.AC²=AB²+BC²AC²=(4)²+(4)²AC²=16+16AC²=32AC²=√32AC²=⁴√2.Now we find the value ofCos C= B/H= 4/⁴√2= 1/√2. Done?? | |
| 9705. |
if xcosA =8 and 15cosecA=8secA then value of x is |
| Answer» sec A/cosec A=sin A/cos A=tan A=15/8In a right triangle, a=15x, b=8x thus hypotenuse is c=17xthus cos A=8/17...17.cos A=8....thus, x=8 | |
| 9706. |
I want clear and correct mind map of real numbers and area related to circles |
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| 9707. |
In figure (1);(2) ,DE||BC find Ec in(1) and AD in (2) |
| Answer» In, ΔABCBC || DEIn ΔABC and ΔADE∠ABC = ∠ADE [corresponding angles]∠ACB = ∠AED [ corresponding angles]∠A = ∠A common⇒ ΔABC ~ ΔADEAD/DB = AE/EC1.5/3 = 1/ECEC = 3 × 1/1.5EC = 2 cm(ii) In ΔABC and ΔADE∠ABC = ∠ADE [corresponding angles]∠ACB = ∠AED [ corresponding angles]∠A = ∠A commonΔABC ∼ ΔADEAD/DB = AE/ECAD/7.2 = 1.8/5.4AD = (7.2 × 1.8)/5.4AD = 2.4 cm | |
| 9708. |
How many 100 makes 100000 |
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Answer» 1000 1000 Just divide it. 100000/100 = 1000 |
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| 9709. |
The product of the zeroes of the polynomial f(x)=x³-5x²-15x+64 is ? |
| Answer» -64/1 | |
| 9710. |
a. If n is a natural number, then the number of consecutive zeros in 7" is\u200b |
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Answer» 7 Seven 7 |
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| 9711. |
16. ABCD inapsis ch the BC||AD and Ab=i(m.it the anals AC = md wht tha AO DC = DO O8 - 1 2 : |
| Answer» Please ask complete question.\xa0 | |
| 9712. |
5x^2+6 find root |
| Answer» No real roots | |
| 9713. |
The perimeter of the quadrant of a circle id 25 cm.find its area. |
| Answer» Let r be the radius of the quadrant.We know that, Perimeter of the quadrant\xa0{tex}= \\frac { 25 r } { 7 } \\mathrm { cm }{/tex}Given that,\xa0perimeter of a quadrant\xa0{tex}= 25 cm{/tex}{tex}\\Rightarrow \\frac { 25 r } { 7 } {/tex}{tex}= 25{/tex}{tex}\\Rightarrow r = 7 \\mathrm { cm }{/tex}{tex}\\therefore {/tex}\xa0Area of the quadrant{tex}= \\frac { 1 } { 4 } \\pi r ^ { 2 }{/tex}{tex}= \\left( \\frac { 1 } { 4 } \\times \\frac { 22 } { 7 } \\times 7 \\times 7 \\right) \\mathrm { cm } ^ { 2 }{/tex}{tex}= \\frac { 77 } { 2 } \\mathrm { cm } ^ { 2 }{/tex} | |
| 9714. |
If angle A and angle B are acute angles such that cos A=cos B, then show that angle A = angle B |
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Answer» According to the question:-Let cosA= HypotenusesideadjacentA\u200b ABAC\u200b Similarly,cosB= HypotenusesideadjacentB\u200b = ABBC\u200b Given thatcosA=cosBABAC\u200b = ABBC\u200b AC=BCIn triangle,angles opposite equal side are equal ∠B=∠A Isme Cos A = Cos B given haiCos done side se cut ho jayega..Isliye angle A = angle BHence proved |
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| 9715. |
Exercise 8.1 question 6 |
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| 9716. |
Area of the larget triangle that can be incribed in a emicircle of radius r unit |
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Answer» r2 ????? r² Area of triangleAs shown in figure, largest triangle inscribed in a semi-circle is triangle with base as diameter of circle and height as radius of circle.Thus,the area of triangle isA=1/2×2r × r A=r^2 |
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| 9717. |
Prove P(AUB)= P(A) U P(B) |
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| 9718. |
1.2x+3/3. 2x+6 =9/8 |
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| 9719. |
What is the probability that card taken out has a prime number less than 20 |
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Answer» One 1 |
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| 9720. |
What is the probability that card taken out has an even number which is not less than 70 |
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| 9721. |
What is the probability that card taken out has a two digit odd number |
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| 9722. |
What is the probability that card taken out has a odd number which is multiple of 11 |
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| 9723. |
The ratio of LCM and HCF of the least composite and the least prime numbers is1:22:11:11:3 |
| Answer» 2:1 | |
| 9724. |
35x+23y=209 ; 23x+35y=197 |
| Answer» x=4 , y=3 by substitution method | |
| 9725. |
x-y=2&2x-y=8 draw it on graph |
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| 9726. |
Ex 8.3 |
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Answer» Sare answer Bhio |
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| 9727. |
Distance of point (4,a)from x axis is half its distance from yaxis then a = |
| Answer» 2 I think | |
| 9728. |
chapter 6 exercise 6.1 |
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Answer» Q1 (i) similar (ii) similar (iii) equilateralQ2 (i) 2 equilateral triangles of length 2&4 cms.2 squares of length 1&2cms.(ii) trapezium & squareTriangle & rectriangle.Q3 They are not similar as their corresponding sides are proportional i.e 1:2 but their corresponding angles are not equal. Lin |
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| 9729. |
The dependent pair of linear equations is always |
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Answer» Consistent consistent Consistent |
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| 9730. |
Cot 30 + sec 45 + cot 0 - tan 90 |
| Answer» Not defined | |
| 9731. |
What is consistent and inconsistent |
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Answer» A consistent system of equations has at least one solution, and an inconsistent system has no solution. Consistent means there is 1 or more solution to any equationEx. Coincident and intersecting linesInconsistent means there is no solution to any quadratic equation Ex. Parallel line |
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| 9732. |
Root 1+cos theta/1-cos theta |
| Answer» cosec theta + cot theta | |
| 9733. |
Find the sum of reciprocals of the zeros of x2 + 6x + 2(a) 3 (b) -3 (c) 12 (d) -12 |
| Answer» B | |
| 9734. |
Rd sharma question 30 MCQs Find the area of the shaded region |
| Answer» The answer of this question is 25(π-2)cm square | |
| 9735. |
Triangle pqr such that PQ is equal to QR is equal to p r is equal to 5 cm |
| Answer» Equilateral triangle | |
| 9736. |
secA +tanA = x then find secA |
| Answer» secA-tanA=1/xSo 2secA=(x^2+1)/xSo secA=(x^2+1)/2x | |
| 9737. |
Prove that 2-root3is irrational number |
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| 9738. |
HCF of 144 and 199 is |
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Answer» 1 is their HCF It will be 198 in place of 199.Putting 199 you can get HCF of this. |
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| 9739. |
The area of two similarity triangle are 9cm² and 16cm² then the ratio of corresponding sides are |
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Answer» 3/4 3/4 |
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| 9740. |
Sec A =12/5 for some angle A, it is true, just explain me how is this true |
| Answer» In right angle triangle , hypotenuse is always greater than base .Here h>b, so the given statement is true | |
| 9741. |
In triangle ABC, if AB=2BC , angle B=90° , then the value of sec A is |
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Answer» 1 Answer? |
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| 9742. |
the least positive integer divisible by 20 and 24 is |
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Answer» Answer is 120 120 Take the lcm of 20 and 24 ,the lcm will be the answer |
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| 9743. |
If x-y = 2 and 2 upon X+y = 1 upon 5 , then |
| Answer» -1/2=Y3/2=X | |
| 9744. |
1 + 1 |
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Answer» 2 2 2 2 2 |
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| 9745. |
If 7sin2theta+3cos2=4 then value of tan theta is |
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Answer» 1√3 1/√3 |
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| 9746. |
(SecA+tanA-1)(secA+1-tanA)=2 tanA |
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| 9747. |
Write all the other trigonometry ratios of angle A in terms of sec A |
| Answer» SinACosATanACosecASecACotA | |
| 9748. |
mcqs of ex.8 .1 |
| Answer» | |
| 9749. |
Sin theta -cos theta /sin theta +cos theta =root3-1/root3+1 |
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| 9750. |
Probability of an event E +probability of the event not E |
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Answer» P 1 P(E) + P(not E) = 1 1 1 |
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