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Constructions T...

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  • Question 1
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    To construct a triangle similar to given $$\displaystyle \Delta ABC$$ with sides equal to $$\dfrac75$$ of the sides of $$\displaystyle \Delta ABC$$, a ray $$BX$$ is drawn such that $$\displaystyle \angle CBX$$ is acute angle and $$\displaystyle { B }_{ 1 },{ B }_{ 2 },{ B }_{ 3 },...$$ are marked at equal distances on $$BX$$. The points to be joined in the next step are:

  • Question 2
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    If two tangents are drawn at the end points of two radii that are inclined at an angle of $$\displaystyle { 110 }^{ \circ  }$$. Find the angle between the tangents.

  • Question 3
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    To construct a triangle similar to given $$\displaystyle \Delta ABC$$ with its sides $$\dfrac45$$ of that of $$\displaystyle \Delta ABC$$, locate points $$\displaystyle { X }_{ 1 },{ X }_{ 2 },{ X }_{ 3 },....$$. on ray $$BX$$ at equal distances such that $$\displaystyle \angle ABX$$ is acute. The points to be joined in the next step are:

  • Question 4
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    To draw a pair of tangents to a circle which are at right angles to each other, it is required to draw tangents at end points of two radii which are inclined at an angle of?

  • Question 5
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    If tangents are drawn from the end points of $$2$$ radii that are inclined at an angle $$\displaystyle { 125 }^{ \circ  }$$, what is the angle between the tangents?

  • Question 6
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    What should be the angle between corresponding radii such that the tangents don't intersect?

  • Question 7
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    To construct a triangle similar to given $$\displaystyle \Delta ABC$$ with its sides $$\dfrac45$$ of that of $$\displaystyle \Delta ABC$$. Locate points $$\displaystyle { X }_{ 1 },{ X }_{ 2 },{ X }_{ 3 },....$$ on ray $$BX$$ at equal distances such that $$\displaystyle \angle ABX$$ is acute. The minimum number of points to be located on $$BX$$ is:

  • Question 8
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    Directions For Questions

    $$P$$ is outside circle with center $$O$$.
    Here are the steps of construction arranged randomly to construct a pair of tangents from?
    $$(a)$$ Taking midpoint of $$OP$$ as center, we draw a circle of radius $$\dfrac{OP}2$$
    $$(b)$$ Join $$OP$$
    $$(c)$$ Join $$P$$ to the points at which the drawn circle touches the circle with center $$O$$
    $$(d)$$ Bisects $$OP$$ and get the midpoint.

    ...view full instructions

    Which is last step?

  • Question 9
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    Directions For Questions

    Draw a circle with centre $$O$$ and radius $$6\ cm$$. Take a point $$P$$ outside the circle at a distance of $$10\ cm$$ from $$O$$. Draw tangents to the circle from point $$P$$. Let the tangents intersect the circle in points $$A$$ and $$B$$.

    ...view full instructions

    The length of $$AB$$ is

  • Question 10
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    $$AP$$ and $$BP$$ are the tangents drawn from an external point $$P$$ to a circle with center $$O$$. 

    $$\angle AOB$$ and $$\angle APB$$ are always ________.

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