This section includes 7 InterviewSolutions, each offering curated multiple-choice questions to sharpen your Current Affairs knowledge and support exam preparation. Choose a topic below to get started.
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Ifx-2-a and y 2+ a. is a solution of the equation 3x-2y+6-0 find the valof α ,. Eind three more solutions of the resultant equation. |
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| 2. |
2x+3y=9;3x+4y=55. Solve the simultaneous equations1;-+-=8, where x0,yĺ ł02x y |
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Hence, the solution is x1 , ySolve for x and y by using me1. x+y=3' 2x + y =-23. 4x-0.5y 12.5, 3x- 0.8y 82x-3y3 53x 2y' 4 35. |
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| 4. |
Find the maximum area of the rectangle that can be formed with fixed perimeter 20.[March 19TS, May 16AP] |
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Answer» 25 is the right answer 20x20=400 cm^2 is the right answer the answer is 25 because5*5=25 25 is the right answer the length of one side of the rectangle is x, then the side opposite and parallel to it also has a length of x. Since the perimeter of the rectangle is 20, then the other two sides have a measure of (20 - 2x), and each one has a measure of (20 - 2x)/2 = 10 - x. The area of a rectangle = length x width = x(10 - x) = 10x - x² The maximum area can be found by computing the derivative of the area formula f(x) = 10x - x² f'(x) = 10 - 2x Find the critical points. Since f'(x) is defined for all real x, then the critical points occur where f'(x) = 0 10 - 2x = 0 10 = 2x x = 5 So the other side = 10 - x = 10 - 5 = 5 The maximum area is 5 x 5 = 25 m² A rectangle has a perimeter of 20m. Let x m be the length of one side. Find a formula for the area A of the rectangle in terms of x. Hence find the maximum area of ALet the other side of the rectangle be x. Then, 2(x+y) = 20 x+y = 10 y = 10 - x (we express the other side in terms of x) A = x(10-x) = -x^2 +10x A will be maximized when the rectangle has equal sides, hence a square. Remember that every square is also a rectangle. maximum area is 5*5 = 25 m^2 25 is the answer yes the correct answer is 25 perimeter of rectangle=2(l+b)2(l+b)=20(l+b)=10l+b=10area of rectangle =lblet us l=5 ,b=5l×b =5×5 =25the is 25 is correct answer. 25 is the best answer 25 is the right answer perimeter of rectangle =2(l+b)2(l+b)=20(l+b)=10l+b=10area of rectangle =lblet us l=5 , b=5 l×b=5×5=25 25 is the right answer of this question 25 is the right answer of this question perimeter of rectangle=2(l+b)20=2(l+b)10=l+b......1area of rectangle=l×blet us assume l=5&b=5area of rectangle=25 the correct answer is 25 25 will be the maximum area that can be formed for maximum area length and width must be equal. so, length of each side = 5 cmarea = 25 sq.cm 25 is the right answer 25 is the right answer 25 is the right answer 25 is the right answer 25 is the right answer The maximum area is 5×5=25m²is the best answer 25 is the best answer the right answer is 25 because 5×5=25 25 is the correct answer The correct answer is 25 because 5*5=25 25 is the correct answer of the given question 25 is the best answer 2L + 2B = 20L+B = 10 now, possible values of L And B are L B Area = L*B9 1 98 2 167 3 216 4 245 5 25 and hence the maximum area of a rectangle having perimeter 20 cm is 25 cm². 25 is the correct answer Perimeter of rectangle =2(l+b) 2(l+b)=20l+b=20/2l+b=10 If l=5 thenb=5 because breath =(l+b)-lb=(l+b)-lb=10-5b=5 Area=l×bArea=5×5Area=25m^2 20×20=400 cm = right answer 25 is the right answer of the following 25m^2 is the right answer I think 25 is the best and right ans 81 sq.cm isthe correct answer 81 sq.cm isthe correct answer 81 sq.cm isthe correct answer 81 sq.cm isthe correct answer 25 is the correct answer 25 is the correct answer of your question 25 is the best answer 25 iS the right answer 25 will be the answer the right answer is 25m² A rectangle has a perimeter of 20m. Let x m be the length of one side. Find a formula for the area A of the rectangle in terms of x. Hence find the maximum area of ALet the other side of the rectangle be x. Then, 2(x+y) = 20 x+y = 10 y = 10 - x (we express the other side in terms of x) A = x(10-x) = -x^2 +10x A will be maximized when the rectangle has equal sides, hence a square. Remember that every square is also a rectangle. maximum area is 5*5 = 25 m^2 25 is the best answer 25 is the right answer 25 is the right answer 25 is the only answer of this question Correct answer is 25 because 5*5 i think 25 is right answer 25 Is correct,answer 25. is the. right. answer 25 is right answer 25 is my answer. 25 is the best answer 25 is correct answer. my answer is correct so please like 25 is the correct answer to this question . 25 is the correct answer to this question . 25 is the right answer the maximum area of the rectangle is 36 in case of rectangle length is more than breadth so 2(l+b)=20then l=6,b=4then area is l*b=4×6=24 I solved this and knew that 25 is right 25 is the correct answer 25 is the correct answer me 25 is the right answer of the following 25 is the answer of this question. 25 is the right answer of the given question 25 is the correct answer 25 is the best answer 25 is the best answer 25 is the right answers area will be underroot 10 25 is the correct answer 20 x 20 = 400 is the correct answer 25 cm is the best answer 25 is the right answer 25 is the right answer 25 cm is the correct answer. 25 is the best answer 25 is the tha right answer 24right answer maximum area that 25 cm² is the right answer 25 is the correct answer right answer 24 confirm 25 is the right answer 25 right answer Dharmendra The maximum area of the rectangle will be 24 sq units the right answer will be 25 sq units. 2(l+b)=20l+b=10a=l*bmaximum=5*5=25cm2 25 is the correct answer to it 25 is s rightanswer 20×20=4000cm^2is the right answer 25 is correct answer =25right answer for this question 25 is the best answer 25 is the correct answer Maximum Area=30metre square 25 is correct answer Let the other side of the rectangle be x. Then, 2(x+y) = 20 x+y = 10 y = 10 - x (we express the other side in terms of x) A = x(10-x) = -x^2 +10x A will be maximized when the rectangle has equal sides, hence a square. Remember that every square is also a rectangle. maximum area is 5*5 = 25 m^2 the perimeter of rectangle is2(l+b)=20(l+b)=10the area of rectangle=l×blet l=5 ,b=5=5×5=25 25 is the right answer plz like my answer i like your all answer 25 is a right answer 400 cm. cm is the correct answer me (15 "" "- +) Except 1 double is dissipated, then float in. That is, (5 2n + 1 + 1) and 14, must be taken. 400 is the correct answer 400 is the correct answer 25 is right answer asPerimeter of rect. = 2(L+B)Area of rect. = L*B 400 is the correct answer 400 Aap Ladka Ho Ya Girl let l=x b =x perimeter of rectangle = 2(l+b) =20 = 2(x+x)10=2xx= 5 l=5,b =5area = l×b = 5×5 = 25 is the correct answer 25 is the maximum area 5*5=25 Let the other side of the rectangle be x. Then, 2(x+y) = 20 x+y = 10 y = 10 - x (we express the other side in terms of x) A = x(10-x) = -x^2 +10x A will be maximized when the rectangle has equal sides, hence a square. Remember that every square is also a rectangle. maximum area is 5*5 = 25 m^2 25 m squer,, is most Let the other side of the rectangle be x. Then, 2(x+y) = 20 x+y = 10 y = 10 - x (we express the other side in terms of x) A = x(10-x) = -x^2 +10xmaximum area is 5*5 = 25 m^2 25 unit^2 is right answer 25 unit^2 is the answer so sides can be, a) 8 and 2b) 9 and 1c) 5 and 5d) 4 and 6e) 3 and 7From this maximum area be formed from 4 that is 4*6=24 25 is correct answer..... 25 is a right answer 25m² correct answer for this question 25 correct answer for this question 20*20=400 cm^2 is the correct answer 25 is the correct answer 24 is the correct answer 25 is the right answer 25 is the correct answer of the given question the answer is 25 the correct answer the right answer is 25 because 5*5=25 the answer of the question is 25 25 m. is the answer answer of this question is done 2(x+y) = 20 x+y = 10 y = 10 - x (we express the other side in terms of x) A = x(10-x) = -x^2 +10x A will be maximized when the rectangle has equal sides, hence a square. Remember that every square is also a rectangle. maximum area is 5*5 = 25 m^2 2(x+y) = 20 x+y = 10 y = 10 - x (we express the other side in terms of x) A = x(10-x) = -x^2 +10x A will be maximized when the rectangle has equal sides, hence a square. Remember that every square is also a rectangle. maximum area is 5*5 = 25 m^2 2(x+y) = 20x+y = 10y = 10 - x (we express the other side in terms of x)A = x(10-x) = -x^2 +10xA will be maximized when the rectangle has equal sides, hence a square. Remember that every square is also a rectangle.maximum area is 5*5 = 25 m^22(x+y) = 20x+y = 10y = 10 - x (we express the other side in terms of x)A = x(10-x) = -x^2 +10xA will be maximized when the rectangle has equal sides, hence a square. Remember that every square is also a rectangle.maximum area is 5*5 = 25 m^22(x+y) = 20x+y = 10y = 10 - x (we express the other side in terms of x)A = x(10-x) = -x^2 +10xA will be maximized when the rectangle has equal sides, hence a square. Remember that every square is also a rectangle.maximum area is 5*5 = 25 m^22(x+y) = 20x+y = 10y = 10 - x (we express the other side in terms of x)A = x(10-x) = -x^2 +10xA will be maximized when the rectangle has equal sides, a square. Remember that every square is also a rectangle.maximum area is 5*5 = 25 m^2 2(x+y) = 20 x+y = 10 y = 10 - x (we express the other side in terms of x) A = x(10-x) = -x^2 +10x A will be maximized when the rectangle has equal sides, hence a square. Remember that every square is also a rectangle. maximum area is 5*5 = 25 m^2 2(x+y) = 20 x+y = 10 y = 10 - x (we express the other side in terms of x) A = x(10-x) = -x^2 +10x A will be maximized when the rectangle has equal sides, hence a square. Remember that every square is also a rectangle. maximum area is 5*5 = 25 m^2 25cm is right answer o400. is tha correct answer 20 × 20 = 400 as max perameter is 20 ,so both side can be 20 for max area 25 is correct and perfect answer because 5×5=15 5 x 5 = 25 meter square is the correct answer Please describe the question briefly the maximum area is 5×5=25 Definition:Arectangleis a quadrilateral with all four angles right angles. From this definition you can prove that the opposite sides are parallel and of the same lengths. A rectangle can be tall and thin, short and fat or all the sides can have the same length. Definition: Asquareis a quadrilateral with all four angles right angles and all four sides of the same length. So a square is a special kind of rectangle, it is one where all the sides have the same length. Thus every square is a rectangle because it is a quadrilateral with all four angles right angles. However not every rectangle is a square, to be a square its sides must have the same length. so the maximum area the rectangle will be = 5*5 Definition:Arectangleis a quadrilateral with all four angles right angles. From this definition you can prove that the opposite sides are parallel and of the same lengths. A rectangle can be tall and thin, short and fat or all the sides can have the same length. Definition: Asquareis a quadrilateral with all four angles right angles and all four sides of the same length. So a square is a special kind of rectangle, it is one where all the sides have the same length. Thus every square is a rectangle because it is a quadrilateral with all four angles right angles. However not every rectangle is a square, to be a square its sides must have the same length. the reason given above is enough to understand that the required area will be 5*5cm square= 25 cm square the maximum area of rectangle is 25 CM square |
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| 5. |
whose two consecutive sides are e90° |
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Answer» it is a square as all the sides are equal and angle given is 90° |
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14.If each sides of a triangle is double, then find the ratio of area of the new trianglethus formed and the given triangle. |
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,2.If αf ara-br + c0 (a * 0), then calculate α + β.andare the roots 0 |
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Answer» Sum of roots = -(coefficient of X)/(coefficient of x²)= -(-b)/c= b/cPlease hit the like button if this helped you |
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10. The two consecutive class marks of a distribution are 52 & 57Find the class limits. |
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Answer» class limit =57-52= 5 |
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| 9. |
o and B are the root0), then calculate α + β.lfs of ar, br + c-0 ( |
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Answer» alpha and beta are the roots of ax² - bx + c = 0 alpha + beta = - ( x- coefficient ) / (x²-coefficient ) = - ( -b ) / a = b / a Like my answer if you find it useful! |
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| 10. |
7x—~15y=2रे कड़ा 3 |
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Answer» 7x-15y=2x+2y=3 (1)×1... 7x-15y=2(2)×7...7x+14y=21................................ 0-29y=-1929y=19y=19/29y=0.655x+2(0.655)=3x+1.310=3x=3-1.31=1.68 |
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| 11. |
Solve the following pair of linear equation by Elimination method.7x -15y = 2 and x +2y=3 |
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some examples.Example 7: Solve the following pair of equations by substitution method:7x-15y = 2x+2y = 3 |
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Answer» 7x - 15y = 2......(1)x + 2y = 3.........(2) x = 3-2y Put value of x from eq (2) in eq(1)7(3-2y) - 15y = 221 - 14y - 15y = 219y = 19y = 1 From eq(2)x = 3-2y = 3-2*1 = 3-2 = 1 Value of x = 1, y = 1 |
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.Add:2x (z-x -y) and 2y (z-y -x) |
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2x+3y=5x-3y=? |
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Find the value of k, for which the equation one root of the quadratic equation k x^{2}-14 x+8=0 is 2. |
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Answer» find the root find the root of the following quadratic equation by factorization method z square minus Z + 1 upon 4 equal to zero find the roots of the following quadratic equation by factorization method z square minus Z + 1 upon 4 equal to zero |
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Find the value of 'k' for which are the root of quadratic equation equation k x^{2}-14 x+8=0 is six times the other. |
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Answer» let the roots be X and yhence X=6ynowx+y=-b/a=14/k7y=14/kk=2/ynow X*y=c/a6y*y=8/2*y6y=4y=2/3hencek=2/2*3=3 Thanks |
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x = 2, y =26x-2y = 42x+3y = 12x+y=-12x-3y = 52; |
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| 18. |
(c) Find the value of"K" for which x - 3 is a solution of the quadratic equation (k+2)2-ks.Thus find the other root of the equation. (4) |
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Answer» If x = 3 is root of equation (k+2)x^2 - kx + 6.Then, for x = 3 equation will be equal to 0 Put x = 3, we get(k+2)*9 - 3k + 6 = 09k + 18 - 3k + 6 = 06k = - 24k = - 24/6 = - 4 -2x^2 + 4x + 6 = 0x^2 - 2x - 3 = 0x^2 - 3x + x - 3 = 0x(x - 3) + 1(x - 3) = 0(x + 1)(x - 3) = 0x = - 1, 3 Roots of equation are - 1 and 3 |
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| 19. |
If the roots of the quadratic equation (k2 x^2- 6kx+3=0 are real, then find 'k' |
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| 20. |
Add: 2x (z-x -y) and 2y (z-y-x) |
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Answer» 2x(z-x-y) + 2y(z-y-x) = 2x(z-x-y) + 2y(z-x-y) = (2x+2y)(z-x-y) = 2(x+y)(z-x-y) |
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| 21. |
The circle S1 with centre C1(a1,b1) and radius r1touches externally the circle S2 with centreC2(a2,b2) and radius r2. If the tangent at theircommon point passes through the origin, then: |
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| 22. |
4. Draw the graph of the equation, 2x-3y 5. |
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| 23. |
1. Determine k so that (3k-2), (4k-6)and (k +2) are three conseautterms of an AP. |
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Answer» When a, b, c are in AP then 2b = a + c So, 2(4k - 6) = 3k - 2 + k + 2 8k - 12 = 4k 8k - 4k = 12 4k = 12 k = 12/4 k = 3 |
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(i) Determine k so that k+2, 4k-6 and 3k-2 are the three consecutive terms of an A.P |
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| 25. |
Determine k if one of the roots of the equationk (x - 1)2 = 5 x - 7 is double the other.1 |
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| 26. |
Add2x + 3y, ax + by |
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Answer» 2x+3y,ax+by2x+3y+ax+by=x(2+a)+y(3+b) |
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| 27. |
Rice and curry is my favourite dish. |
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Answer» Rice and curry is a popular dish in the Southern Indian states of Andhra Pradesh, Telangana, Karnataka, Kerala, and Tamil Nadu, as well as in Sri Lanka and Bangladesh. Rice and curry dinner comprises the following: A large bowl of rice, most often boiled, but frequently fried. what's the question here??? |
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Find the equation of altitude of triangle drawn from the vertices BIf side AC where A(1,2), B(-2,-5) and C(4,7,). |
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| 29. |
Duit lereau Collectors su Enga line which is faecalled M Maxisand les at a distance of 2 Coupe |
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| 30. |
is an altitude of an equilateral triangle ABC. On AD as base, another equilateraltriangle ADE is constructed. Prove that Area ( Δ ADE) : Area ( AABC)-3 : 4 [CBSE 2010]22. AD |
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.The point (3.4) lies on the graph ofthe equation 3y = ax + 7, Find the value of a? |
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| 32. |
9)If the point (3,4) lies on the graph of the equation 3y = ax + 7, find the value of a. |
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| 33. |
11.F the point (3.4) lies on the graph of the equation 3y - ax + 7. Find the value of a. |
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3. If the point (3, 4) lies on the graph of the equation 3y ax+7, find the value of a. |
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guestions number 1o tO 22 curry naras entR.Q.13. AD is an altitude of an equilateral triangle ABC. On AD as base, another equilateraltriangle ADE is constructed. Prove that Area (AADE) : (AABC) 3:4. |
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Answer» thanks please give the answer of other questions also |
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| 36. |
the curved surface area of the right circular cone whose radius is 3om and the height is(Take Ď-3.144cm. |
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Answer» First find slant height (l)now l^2=r^2+h^2hencel^2=3^2+4^2hencel=5cmHence CSA=2πrl=2*22/7*3*5=94.2cm^2 |
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ind the curved surface area of the right circular cone whose radius is 3cm and the height is4cm.(Take Ď- 3.14) |
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Answer» Let the slant height be l. Then, l² = r² + h²=> l = √(3²+4²)=> l = 5cm Curved surface area = πrl= 3.14*3*5= 47.1 cm² Please hit the like button if this helped you |
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Question numbers 13 to 22 carry 3 marks each.13. AD is an altitude of an equilateral triangle ABC. On AD as base anotherequilateral triangle ADE is constructed. Prove that ar(AMDE): ar(AABC)3:4. |
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16/Find the curved surface area of the right circular cone whose radius is 3cm and the height ism. (Take T 3.14) |
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Answer» hit like if you find it useful |
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Find the curved surface area of the right circular cone whose radius is 3cm and the height is4cm. (Take n 3.14)16. |
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| 41. |
. The radius of a circe is Sem. A chord of length 5/2 cdrawn in the circle. Find the area of the major segrnent |
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t Somength of BC in the given figure.Sem O |
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| 43. |
34. In the given fig., AN, AC, PO are the tangents to thecircle and AB - Sem, then perimeter of AAPO is1.5cm2.7cmsem4.10cm |
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Answer» Option 4Let PQ touch the circle at the point R. We know that tangents drawn from an external point to a circle are equal in length. AB = AC = 5cm AP +BP = AQ+ QC = 5cm AP + PR = AQ + QR = 5cm…………(1) [ BP = PR & QC = QR] Now, perimeter of ∆ APQ = AP +PQ+AQ = AP +RP+QR+AQ = 5 + 5 [ from eq 1] Perimeter of ∆ APQ= 10 cm |
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| 44. |
Radha made a picture of an acroplane with coloured paper as shown in Fig 12.15. Findthe total area of the paper used3.Sembcm1 Sem65cmZcm |
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| 45. |
In an Đ.Đ. sum ofthree consecutive terms is 27and their productis 504 , findthe terms.(Assume that three consecutive terms in A.P. are a -d,a, a + d.) |
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Answer» Let three consecutive terms of an AP are a-d, a, a+d Given, Sum of three consecutive terms = 27Product of terms = 504 Then,a - d + a + a + d = 273a = 27a = 27/3 = 9 (a-d)*a*(a + d) = 504a(a^2 - d^2) = 5049(81 - d^2) = 50481 - d^2 = 56d^2 = 81 - 56 = 25d = 5 Terms are (9-5), 9, (9 + 5)= 4, 9, 14 |
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| 46. |
2emSem |
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Answer» Perimeter is sum of all sides 4+2+1+5=12cm than you |
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| 47. |
If 1/x+y,1/2y,1/y+z are three consecutive terms of an A.P. then prove that x,y,z are three consecutive terms of a G.P. |
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Answer» thanks 1/x+y,1/2y,2/y+z are in A.P. 2/2y=(1/x+y)+(2/y+z) 1/y=y+z+x+y/(x+y)(y+z) 1/y=x+2y+z/xy+xz+y^2+yz xy+xz+y^2+yz=y (x+2y+z) xy+xz+y^2+yz=xy+2xz+yz xz+y^2=2xz y^2=2xz-xz y^2=xz so x,y,z are in G.P. |
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| 48. |
Bschible the derebenentscaibhe the deebement of in.ale en ee phuyia |
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Answer» Development of male gametophyte starts in pollen grains, while still present in the microsporangium or pollen sac (precocious germination). Microspore undergoes only two mitotic divisions. First mitotic division leads to the formation of a vegetative cell and generative cell. Vegetative cell is also called tube cell. The vegetative cell is bigger has abundant food reserve and large irregular shaped nucleus. These cells do not possess any cell wall, hence represented only by cell membranes. A temporary callose wall is laid down between the two cells (Groska-Bry-Lass, 1967). The callose wall spreads between the generative cells and the intine to finally pinch it off. Soon, this callose wall dissolves and generative cell lies freely in the cytoplasm of vegetative cell. |
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| 49. |
Date_Page No.:Jindl theond en25 |
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Answer» area = length × breadth = 600 breadth = 25 length = 600/25 = 24 perimeter = 2(25+24) = 2×49 = 98cm thanku 😊 |
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| 50. |
eThe sum of three consecutive terms of an A.P. is 12. The product oft and third terms is three times the second term. Find out the terms. |
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